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Finding the Fourth Proportional to 26,978.95, 40,480.10 and 14,484.40

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Solution

The fourth proportional to 26,978.95, 40,480.10 and 14,484.40 is: 21,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.95 : 40,480.10 = 14,484.40 : x
  2. Step 2: Convert to fraction form
    26,978.95/40,480.10 = 14,484.40/x
  3. Step 3: Cross multiply
    26,978.95x = 40,480.10 × 14,484.40
  4. Step 4: Simplify right side
    26,978.95x = 586,329,960.44
  5. Step 5: Solve for x
    x = 586,329,960.44/26,978.95
  6. Step 6: Final answer
    x = 21,732.87

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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.