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Finding the Fourth Proportional to 30,745, 42,420.58 and 20,515.92

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Solution

The fourth proportional to 30,745, 42,420.58 and 20,515.92 is: 28,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745 : 42,420.58 = 20,515.92 : x
  2. Step 2: Convert to fraction form
    30,745/42,420.58 = 20,515.92/x
  3. Step 3: Cross multiply
    30,745x = 42,420.58 × 20,515.92
  4. Step 4: Simplify right side
    30,745x = 870,297,225.63
  5. Step 5: Solve for x
    x = 870,297,225.63/30,745
  6. Step 6: Final answer
    x = 28,306.95

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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.