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Finding the Fourth Proportional to 9,177.98, 13,800.18 and 8,456.28

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Solution

The fourth proportional to 9,177.98, 13,800.18 and 8,456.28 is: 12,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.98 : 13,800.18 = 8,456.28 : x
  2. Step 2: Convert to fraction form
    9,177.98/13,800.18 = 8,456.28/x
  3. Step 3: Cross multiply
    9,177.98x = 13,800.18 × 8,456.28
  4. Step 4: Simplify right side
    9,177.98x = 116,698,186.13
  5. Step 5: Solve for x
    x = 116,698,186.13/9,177.98
  6. Step 6: Final answer
    x = 12,715.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.