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Finding the Fourth Proportional to 10,550.95, 14,562.10 and 6,077.29

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Solution

The fourth proportional to 10,550.95, 14,562.10 and 6,077.29 is: 8,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.95 : 14,562.10 = 6,077.29 : x
  2. Step 2: Convert to fraction form
    10,550.95/14,562.10 = 6,077.29/x
  3. Step 3: Cross multiply
    10,550.95x = 14,562.10 × 6,077.29
  4. Step 4: Simplify right side
    10,550.95x = 88,498,104.71
  5. Step 5: Solve for x
    x = 88,498,104.71/10,550.95
  6. Step 6: Final answer
    x = 8,387.69

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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.