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Finding the Fourth Proportional to 10,489.68, 14,410.98 and 9,385.23

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Solution

The fourth proportional to 10,489.68, 14,410.98 and 9,385.23 is: 12,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.68 : 14,410.98 = 9,385.23 : x
  2. Step 2: Convert to fraction form
    10,489.68/14,410.98 = 9,385.23/x
  3. Step 3: Cross multiply
    10,489.68x = 14,410.98 × 9,385.23
  4. Step 4: Simplify right side
    10,489.68x = 135,250,361.83
  5. Step 5: Solve for x
    x = 135,250,361.83/10,489.68
  6. Step 6: Final answer
    x = 12,893.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.