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Finding the Fourth Proportional to 11,545.12, 15,931.92 and 6,509.60

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Solution

The fourth proportional to 11,545.12, 15,931.92 and 6,509.60 is: 8,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.12 : 15,931.92 = 6,509.60 : x
  2. Step 2: Convert to fraction form
    11,545.12/15,931.92 = 6,509.60/x
  3. Step 3: Cross multiply
    11,545.12x = 15,931.92 × 6,509.60
  4. Step 4: Simplify right side
    11,545.12x = 103,710,426.43
  5. Step 5: Solve for x
    x = 103,710,426.43/11,545.12
  6. Step 6: Final answer
    x = 8,983.05

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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.