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Finding the Fourth Proportional to 9,931.85, 13,702.04 and 6,397.11

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Solution

The fourth proportional to 9,931.85, 13,702.04 and 6,397.11 is: 8,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.85 : 13,702.04 = 6,397.11 : x
  2. Step 2: Convert to fraction form
    9,931.85/13,702.04 = 6,397.11/x
  3. Step 3: Cross multiply
    9,931.85x = 13,702.04 × 6,397.11
  4. Step 4: Simplify right side
    9,931.85x = 87,653,500.49
  5. Step 5: Solve for x
    x = 87,653,500.49/9,931.85
  6. Step 6: Final answer
    x = 8,825.49

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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.