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Finding the Fourth Proportional to 8,412.92, 11,603.01 and 7,402.44

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Solution

The fourth proportional to 8,412.92, 11,603.01 and 7,402.44 is: 10,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.92 : 11,603.01 = 7,402.44 : x
  2. Step 2: Convert to fraction form
    8,412.92/11,603.01 = 7,402.44/x
  3. Step 3: Cross multiply
    8,412.92x = 11,603.01 × 7,402.44
  4. Step 4: Simplify right side
    8,412.92x = 85,890,585.34
  5. Step 5: Solve for x
    x = 85,890,585.34/8,412.92
  6. Step 6: Final answer
    x = 10,209.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.