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Finding the Fourth Proportional to 8,494.64, 12,737.80 and 2,948.28

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Solution

The fourth proportional to 8,494.64, 12,737.80 and 2,948.28 is: 4,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.64 : 12,737.80 = 2,948.28 : x
  2. Step 2: Convert to fraction form
    8,494.64/12,737.80 = 2,948.28/x
  3. Step 3: Cross multiply
    8,494.64x = 12,737.80 × 2,948.28
  4. Step 4: Simplify right side
    8,494.64x = 37,554,600.98
  5. Step 5: Solve for x
    x = 37,554,600.98/8,494.64
  6. Step 6: Final answer
    x = 4,420.98

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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.