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Finding the Fourth Proportional to 7,232.50, 9,980.94 and 3,920.50

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Solution

The fourth proportional to 7,232.50, 9,980.94 and 3,920.50 is: 5,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.50 : 9,980.94 = 3,920.50 : x
  2. Step 2: Convert to fraction form
    7,232.50/9,980.94 = 3,920.50/x
  3. Step 3: Cross multiply
    7,232.50x = 9,980.94 × 3,920.50
  4. Step 4: Simplify right side
    7,232.50x = 39,130,275.27
  5. Step 5: Solve for x
    x = 39,130,275.27/7,232.50
  6. Step 6: Final answer
    x = 5,410.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.