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Finding the Fourth Proportional to 10,806.32, 14,905.32 and 6,616.64

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Solution

The fourth proportional to 10,806.32, 14,905.32 and 6,616.64 is: 9,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.32 : 14,905.32 = 6,616.64 : x
  2. Step 2: Convert to fraction form
    10,806.32/14,905.32 = 6,616.64/x
  3. Step 3: Cross multiply
    10,806.32x = 14,905.32 × 6,616.64
  4. Step 4: Simplify right side
    10,806.32x = 98,623,136.52
  5. Step 5: Solve for x
    x = 98,623,136.52/10,806.32
  6. Step 6: Final answer
    x = 9,126.43

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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.