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Finding the Fourth Proportional to 34,768.58, 47,978.63 and 20,426.18

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Solution

The fourth proportional to 34,768.58, 47,978.63 and 20,426.18 is: 28,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768.58 : 47,978.63 = 20,426.18 : x
  2. Step 2: Convert to fraction form
    34,768.58/47,978.63 = 20,426.18/x
  3. Step 3: Cross multiply
    34,768.58x = 47,978.63 × 20,426.18
  4. Step 4: Simplify right side
    34,768.58x = 980,020,132.53
  5. Step 5: Solve for x
    x = 980,020,132.53/34,768.58
  6. Step 6: Final answer
    x = 28,186.95

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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.