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Finding the Fourth Proportional to 9,200.52, 12,689.46 and 7,759.80

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Solution

The fourth proportional to 9,200.52, 12,689.46 and 7,759.80 is: 10,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.52 : 12,689.46 = 7,759.80 : x
  2. Step 2: Convert to fraction form
    9,200.52/12,689.46 = 7,759.80/x
  3. Step 3: Cross multiply
    9,200.52x = 12,689.46 × 7,759.80
  4. Step 4: Simplify right side
    9,200.52x = 98,467,671.71
  5. Step 5: Solve for x
    x = 98,467,671.71/9,200.52
  6. Step 6: Final answer
    x = 10,702.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.