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Finding the Fourth Proportional to 8,291.78, 12,437.27 and 3,097.25

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Solution

The fourth proportional to 8,291.78, 12,437.27 and 3,097.25 is: 4,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.78 : 12,437.27 = 3,097.25 : x
  2. Step 2: Convert to fraction form
    8,291.78/12,437.27 = 3,097.25/x
  3. Step 3: Cross multiply
    8,291.78x = 12,437.27 × 3,097.25
  4. Step 4: Simplify right side
    8,291.78x = 38,521,319.02
  5. Step 5: Solve for x
    x = 38,521,319.02/8,291.78
  6. Step 6: Final answer
    x = 4,645.72

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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.