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Finding the Fourth Proportional to 8,978.14, 12,372.99 and 6,455.89

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Solution

The fourth proportional to 8,978.14, 12,372.99 and 6,455.89 is: 8,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.14 : 12,372.99 = 6,455.89 : x
  2. Step 2: Convert to fraction form
    8,978.14/12,372.99 = 6,455.89/x
  3. Step 3: Cross multiply
    8,978.14x = 12,372.99 × 6,455.89
  4. Step 4: Simplify right side
    8,978.14x = 79,878,662.41
  5. Step 5: Solve for x
    x = 79,878,662.41/8,978.14
  6. Step 6: Final answer
    x = 8,897.02

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Why These Related Problems?

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