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Finding the Fourth Proportional to 27,318.54, 40,978.62 and 10,677.90

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Solution

The fourth proportional to 27,318.54, 40,978.62 and 10,677.90 is: 16,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318.54 : 40,978.62 = 10,677.90 : x
  2. Step 2: Convert to fraction form
    27,318.54/40,978.62 = 10,677.90/x
  3. Step 3: Cross multiply
    27,318.54x = 40,978.62 × 10,677.90
  4. Step 4: Simplify right side
    27,318.54x = 437,565,606.50
  5. Step 5: Solve for x
    x = 437,565,606.50/27,318.54
  6. Step 6: Final answer
    x = 16,017.17

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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.