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Finding the Fourth Proportional to 8,627.34, 12,938.24 and 2,782.58

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Solution

The fourth proportional to 8,627.34, 12,938.24 and 2,782.58 is: 4,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.34 : 12,938.24 = 2,782.58 : x
  2. Step 2: Convert to fraction form
    8,627.34/12,938.24 = 2,782.58/x
  3. Step 3: Cross multiply
    8,627.34x = 12,938.24 × 2,782.58
  4. Step 4: Simplify right side
    8,627.34x = 36,001,687.86
  5. Step 5: Solve for x
    x = 36,001,687.86/8,627.34
  6. Step 6: Final answer
    x = 4,172.98

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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.