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Finding the Fourth Proportional to 47,297.52, 65,281.95 and 28,431

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Solution

The fourth proportional to 47,297.52, 65,281.95 and 28,431 is: 39,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,297.52 : 65,281.95 = 28,431 : x
  2. Step 2: Convert to fraction form
    47,297.52/65,281.95 = 28,431/x
  3. Step 3: Cross multiply
    47,297.52x = 65,281.95 × 28,431
  4. Step 4: Simplify right side
    47,297.52x = 1,856,031,120.45
  5. Step 5: Solve for x
    x = 1,856,031,120.45/47,297.52
  6. Step 6: Final answer
    x = 39,241.62

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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.