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Finding the Fourth Proportional to 10,612.80, 14,641.12 and 6,626.99

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Solution

The fourth proportional to 10,612.80, 14,641.12 and 6,626.99 is: 9,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.80 : 14,641.12 = 6,626.99 : x
  2. Step 2: Convert to fraction form
    10,612.80/14,641.12 = 6,626.99/x
  3. Step 3: Cross multiply
    10,612.80x = 14,641.12 × 6,626.99
  4. Step 4: Simplify right side
    10,612.80x = 97,026,600.72
  5. Step 5: Solve for x
    x = 97,026,600.72/10,612.80
  6. Step 6: Final answer
    x = 9,142.41

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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.