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Finding the Fourth Proportional to 11,509.68, 15,884.64 and 7,542.30

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Solution

The fourth proportional to 11,509.68, 15,884.64 and 7,542.30 is: 10,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.68 : 15,884.64 = 7,542.30 : x
  2. Step 2: Convert to fraction form
    11,509.68/15,884.64 = 7,542.30/x
  3. Step 3: Cross multiply
    11,509.68x = 15,884.64 × 7,542.30
  4. Step 4: Simplify right side
    11,509.68x = 119,806,720.27
  5. Step 5: Solve for x
    x = 119,806,720.27/11,509.68
  6. Step 6: Final answer
    x = 10,409.21

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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.