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Finding the Fourth Proportional to 8,397.79, 12,586.32 and 4,702.64

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Solution

The fourth proportional to 8,397.79, 12,586.32 and 4,702.64 is: 7,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.79 : 12,586.32 = 4,702.64 : x
  2. Step 2: Convert to fraction form
    8,397.79/12,586.32 = 4,702.64/x
  3. Step 3: Cross multiply
    8,397.79x = 12,586.32 × 4,702.64
  4. Step 4: Simplify right side
    8,397.79x = 59,188,868.95
  5. Step 5: Solve for x
    x = 59,188,868.95/8,397.79
  6. Step 6: Final answer
    x = 7,048.15

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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.