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Finding the Fourth Proportional to 45,630, 62,970.75 and 25,487.73

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Solution

The fourth proportional to 45,630, 62,970.75 and 25,487.73 is: 35,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 62,970.75 = 25,487.73 : x
  2. Step 2: Convert to fraction form
    45,630/62,970.75 = 25,487.73/x
  3. Step 3: Cross multiply
    45,630x = 62,970.75 × 25,487.73
  4. Step 4: Simplify right side
    45,630x = 1,604,981,473.90
  5. Step 5: Solve for x
    x = 1,604,981,473.90/45,630
  6. Step 6: Final answer
    x = 35,173.82

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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.