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Finding the Fourth Proportional to 11,470.28, 15,837.54 and 8,813.48

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Solution

The fourth proportional to 11,470.28, 15,837.54 and 8,813.48 is: 12,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.28 : 15,837.54 = 8,813.48 : x
  2. Step 2: Convert to fraction form
    11,470.28/15,837.54 = 8,813.48/x
  3. Step 3: Cross multiply
    11,470.28x = 15,837.54 × 8,813.48
  4. Step 4: Simplify right side
    11,470.28x = 139,583,842.04
  5. Step 5: Solve for x
    x = 139,583,842.04/11,470.28
  6. Step 6: Final answer
    x = 12,169.17

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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.