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Finding the Fourth Proportional to 9,708.80, 13,398.16 and 6,174.08

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Solution

The fourth proportional to 9,708.80, 13,398.16 and 6,174.08 is: 8,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.80 : 13,398.16 = 6,174.08 : x
  2. Step 2: Convert to fraction form
    9,708.80/13,398.16 = 6,174.08/x
  3. Step 3: Cross multiply
    9,708.80x = 13,398.16 × 6,174.08
  4. Step 4: Simplify right side
    9,708.80x = 82,721,311.69
  5. Step 5: Solve for x
    x = 82,721,311.69/9,708.80
  6. Step 6: Final answer
    x = 8,520.24

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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.