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Finding the Fourth Proportional to 9,899.52, 13,662.72 and 6,174.72

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Solution

The fourth proportional to 9,899.52, 13,662.72 and 6,174.72 is: 8,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.52 : 13,662.72 = 6,174.72 : x
  2. Step 2: Convert to fraction form
    9,899.52/13,662.72 = 6,174.72/x
  3. Step 3: Cross multiply
    9,899.52x = 13,662.72 × 6,174.72
  4. Step 4: Simplify right side
    9,899.52x = 84,363,470.44
  5. Step 5: Solve for x
    x = 84,363,470.44/9,899.52
  6. Step 6: Final answer
    x = 8,521.98

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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.