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Finding the Fourth Proportional to 7,124.48, 9,832 and 3,980.80

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Solution

The fourth proportional to 7,124.48, 9,832 and 3,980.80 is: 5,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.48 : 9,832 = 3,980.80 : x
  2. Step 2: Convert to fraction form
    7,124.48/9,832 = 3,980.80/x
  3. Step 3: Cross multiply
    7,124.48x = 9,832 × 3,980.80
  4. Step 4: Simplify right side
    7,124.48x = 39,139,225.60
  5. Step 5: Solve for x
    x = 39,139,225.60/7,124.48
  6. Step 6: Final answer
    x = 5,493.63

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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.