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Finding the Fourth Proportional to 8,920.40, 13,388.82 and 4,541

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Solution

The fourth proportional to 8,920.40, 13,388.82 and 4,541 is: 6,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.40 : 13,388.82 = 4,541 : x
  2. Step 2: Convert to fraction form
    8,920.40/13,388.82 = 4,541/x
  3. Step 3: Cross multiply
    8,920.40x = 13,388.82 × 4,541
  4. Step 4: Simplify right side
    8,920.40x = 60,798,631.62
  5. Step 5: Solve for x
    x = 60,798,631.62/8,920.40
  6. Step 6: Final answer
    x = 6,815.68

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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.