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Finding the Fourth Proportional to 42,455.48, 63,682.97 and 10,865.48

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Solution

The fourth proportional to 42,455.48, 63,682.97 and 10,865.48 is: 16,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,455.48 : 63,682.97 = 10,865.48 : x
  2. Step 2: Convert to fraction form
    42,455.48/63,682.97 = 10,865.48/x
  3. Step 3: Cross multiply
    42,455.48x = 63,682.97 × 10,865.48
  4. Step 4: Simplify right side
    42,455.48x = 691,945,664.13
  5. Step 5: Solve for x
    x = 691,945,664.13/42,455.48
  6. Step 6: Final answer
    x = 16,298.15

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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.