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Finding the Fourth Proportional to 26,280, 39,408.12 and 7,555.74

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Solution

The fourth proportional to 26,280, 39,408.12 and 7,555.74 is: 11,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,280 : 39,408.12 = 7,555.74 : x
  2. Step 2: Convert to fraction form
    26,280/39,408.12 = 7,555.74/x
  3. Step 3: Cross multiply
    26,280x = 39,408.12 × 7,555.74
  4. Step 4: Simplify right side
    26,280x = 297,757,508.61
  5. Step 5: Solve for x
    x = 297,757,508.61/26,280
  6. Step 6: Final answer
    x = 11,330.19

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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.