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Finding the Fourth Proportional to 30,599.58, 42,211.71 and 20,408.16

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Solution

The fourth proportional to 30,599.58, 42,211.71 and 20,408.16 is: 28,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,599.58 : 42,211.71 = 20,408.16 : x
  2. Step 2: Convert to fraction form
    30,599.58/42,211.71 = 20,408.16/x
  3. Step 3: Cross multiply
    30,599.58x = 42,211.71 × 20,408.16
  4. Step 4: Simplify right side
    30,599.58x = 861,463,331.55
  5. Step 5: Solve for x
    x = 861,463,331.55/30,599.58
  6. Step 6: Final answer
    x = 28,152.78

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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.