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Finding the Fourth Proportional to 10,552.56, 14,562.88 and 6,077.44

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Solution

The fourth proportional to 10,552.56, 14,562.88 and 6,077.44 is: 8,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.56 : 14,562.88 = 6,077.44 : x
  2. Step 2: Convert to fraction form
    10,552.56/14,562.88 = 6,077.44/x
  3. Step 3: Cross multiply
    10,552.56x = 14,562.88 × 6,077.44
  4. Step 4: Simplify right side
    10,552.56x = 88,505,029.43
  5. Step 5: Solve for x
    x = 88,505,029.43/10,552.56
  6. Step 6: Final answer
    x = 8,387.07

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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.