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Finding the Fourth Proportional to 8,402.40, 12,605.22 and 2,854.26

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Solution

The fourth proportional to 8,402.40, 12,605.22 and 2,854.26 is: 4,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.40 : 12,605.22 = 2,854.26 : x
  2. Step 2: Convert to fraction form
    8,402.40/12,605.22 = 2,854.26/x
  3. Step 3: Cross multiply
    8,402.40x = 12,605.22 × 2,854.26
  4. Step 4: Simplify right side
    8,402.40x = 35,978,575.24
  5. Step 5: Solve for x
    x = 35,978,575.24/8,402.40
  6. Step 6: Final answer
    x = 4,281.94

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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.