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Finding the Fourth Proportional to 7,124.14, 9,831 and 3,980.26

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Solution

The fourth proportional to 7,124.14, 9,831 and 3,980.26 is: 5,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.14 : 9,831 = 3,980.26 : x
  2. Step 2: Convert to fraction form
    7,124.14/9,831 = 3,980.26/x
  3. Step 3: Cross multiply
    7,124.14x = 9,831 × 3,980.26
  4. Step 4: Simplify right side
    7,124.14x = 39,129,936.06
  5. Step 5: Solve for x
    x = 39,129,936.06/7,124.14
  6. Step 6: Final answer
    x = 5,492.58

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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.