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Finding the Fourth Proportional to 10,553.52, 14,563.08 and 6,077.10

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Solution

The fourth proportional to 10,553.52, 14,563.08 and 6,077.10 is: 8,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.52 : 14,563.08 = 6,077.10 : x
  2. Step 2: Convert to fraction form
    10,553.52/14,563.08 = 6,077.10/x
  3. Step 3: Cross multiply
    10,553.52x = 14,563.08 × 6,077.10
  4. Step 4: Simplify right side
    10,553.52x = 88,501,293.47
  5. Step 5: Solve for x
    x = 88,501,293.47/10,553.52
  6. Step 6: Final answer
    x = 8,385.95

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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.