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Finding the Fourth Proportional to 9,702.12, 14,550.12 and 3,126.90

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Solution

The fourth proportional to 9,702.12, 14,550.12 and 3,126.90 is: 4,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.12 : 14,550.12 = 3,126.90 : x
  2. Step 2: Convert to fraction form
    9,702.12/14,550.12 = 3,126.90/x
  3. Step 3: Cross multiply
    9,702.12x = 14,550.12 × 3,126.90
  4. Step 4: Simplify right side
    9,702.12x = 45,496,770.23
  5. Step 5: Solve for x
    x = 45,496,770.23/9,702.12
  6. Step 6: Final answer
    x = 4,689.36

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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.