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Finding the Fourth Proportional to 9,680.92, 13,359.45 and 5,702.20

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Solution

The fourth proportional to 9,680.92, 13,359.45 and 5,702.20 is: 7,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.92 : 13,359.45 = 5,702.20 : x
  2. Step 2: Convert to fraction form
    9,680.92/13,359.45 = 5,702.20/x
  3. Step 3: Cross multiply
    9,680.92x = 13,359.45 × 5,702.20
  4. Step 4: Simplify right side
    9,680.92x = 76,178,255.79
  5. Step 5: Solve for x
    x = 76,178,255.79/9,680.92
  6. Step 6: Final answer
    x = 7,868.91

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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.