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Finding the Fourth Proportional to 26,292, 39,455.28 and 12,442.08

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Solution

The fourth proportional to 26,292, 39,455.28 and 12,442.08 is: 18,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292 : 39,455.28 = 12,442.08 : x
  2. Step 2: Convert to fraction form
    26,292/39,455.28 = 12,442.08/x
  3. Step 3: Cross multiply
    26,292x = 39,455.28 × 12,442.08
  4. Step 4: Simplify right side
    26,292x = 490,905,750.18
  5. Step 5: Solve for x
    x = 490,905,750.18/26,292
  6. Step 6: Final answer
    x = 18,671.30

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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.