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Finding the Fourth Proportional to 10,965.69, 15,117.84 and 9,470.43

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Solution

The fourth proportional to 10,965.69, 15,117.84 and 9,470.43 is: 13,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.69 : 15,117.84 = 9,470.43 : x
  2. Step 2: Convert to fraction form
    10,965.69/15,117.84 = 9,470.43/x
  3. Step 3: Cross multiply
    10,965.69x = 15,117.84 × 9,470.43
  4. Step 4: Simplify right side
    10,965.69x = 143,172,445.47
  5. Step 5: Solve for x
    x = 143,172,445.47/10,965.69
  6. Step 6: Final answer
    x = 13,056.40

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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.