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Finding the Fourth Proportional to 10,864.72, 16,213.78 and 9,698.32

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Solution

The fourth proportional to 10,864.72, 16,213.78 and 9,698.32 is: 14,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.72 : 16,213.78 = 9,698.32 : x
  2. Step 2: Convert to fraction form
    10,864.72/16,213.78 = 9,698.32/x
  3. Step 3: Cross multiply
    10,864.72x = 16,213.78 × 9,698.32
  4. Step 4: Simplify right side
    10,864.72x = 157,246,426.85
  5. Step 5: Solve for x
    x = 157,246,426.85/10,864.72
  6. Step 6: Final answer
    x = 14,473.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.