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Finding the Fourth Proportional to 4,892.39, 7,339.20 and 1,605.82

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Solution

The fourth proportional to 4,892.39, 7,339.20 and 1,605.82 is: 2,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.39 : 7,339.20 = 1,605.82 : x
  2. Step 2: Convert to fraction form
    4,892.39/7,339.20 = 1,605.82/x
  3. Step 3: Cross multiply
    4,892.39x = 7,339.20 × 1,605.82
  4. Step 4: Simplify right side
    4,892.39x = 11,785,397.45
  5. Step 5: Solve for x
    x = 11,785,397.45/4,892.39
  6. Step 6: Final answer
    x = 2,408.92

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1.5x scale

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.