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Finding the Fourth Proportional to 52,281.92, 72,147.84 and 28,408

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Solution

The fourth proportional to 52,281.92, 72,147.84 and 28,408 is: 39,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,281.92 : 72,147.84 = 28,408 : x
  2. Step 2: Convert to fraction form
    52,281.92/72,147.84 = 28,408/x
  3. Step 3: Cross multiply
    52,281.92x = 72,147.84 × 28,408
  4. Step 4: Simplify right side
    52,281.92x = 2,049,575,838.72
  5. Step 5: Solve for x
    x = 2,049,575,838.72/52,281.92
  6. Step 6: Final answer
    x = 39,202.38

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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.