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Finding the Fourth Proportional to 9,962.98, 13,765.88 and 8,702.08

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Solution

The fourth proportional to 9,962.98, 13,765.88 and 8,702.08 is: 12,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.98 : 13,765.88 = 8,702.08 : x
  2. Step 2: Convert to fraction form
    9,962.98/13,765.88 = 8,702.08/x
  3. Step 3: Cross multiply
    9,962.98x = 13,765.88 × 8,702.08
  4. Step 4: Simplify right side
    9,962.98x = 119,791,789.03
  5. Step 5: Solve for x
    x = 119,791,789.03/9,962.98
  6. Step 6: Final answer
    x = 12,023.69

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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.