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Finding the Fourth Proportional to 30,872.70, 42,601.80 and 18,124.50

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Solution

The fourth proportional to 30,872.70, 42,601.80 and 18,124.50 is: 25,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.70 : 42,601.80 = 18,124.50 : x
  2. Step 2: Convert to fraction form
    30,872.70/42,601.80 = 18,124.50/x
  3. Step 3: Cross multiply
    30,872.70x = 42,601.80 × 18,124.50
  4. Step 4: Simplify right side
    30,872.70x = 772,136,324.10
  5. Step 5: Solve for x
    x = 772,136,324.10/30,872.70
  6. Step 6: Final answer
    x = 25,010.33

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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.