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Finding the Fourth Proportional to 30,602.58, 42,215.82 and 20,411.16

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Solution

The fourth proportional to 30,602.58, 42,215.82 and 20,411.16 is: 28,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.58 : 42,215.82 = 20,411.16 : x
  2. Step 2: Convert to fraction form
    30,602.58/42,215.82 = 20,411.16/x
  3. Step 3: Cross multiply
    30,602.58x = 42,215.82 × 20,411.16
  4. Step 4: Simplify right side
    30,602.58x = 861,673,856.55
  5. Step 5: Solve for x
    x = 861,673,856.55/30,602.58
  6. Step 6: Final answer
    x = 28,156.90

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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.