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Finding the Fourth Proportional to 30,683.52, 42,342.52 and 20,072.92

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Solution

The fourth proportional to 30,683.52, 42,342.52 and 20,072.92 is: 27,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.52 : 42,342.52 = 20,072.92 : x
  2. Step 2: Convert to fraction form
    30,683.52/42,342.52 = 20,072.92/x
  3. Step 3: Cross multiply
    30,683.52x = 42,342.52 × 20,072.92
  4. Step 4: Simplify right side
    30,683.52x = 849,938,016.56
  5. Step 5: Solve for x
    x = 849,938,016.56/30,683.52
  6. Step 6: Final answer
    x = 27,700.15

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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.