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Finding the Fourth Proportional to 23,142, 34,705.80 and 8,348.98

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Solution

The fourth proportional to 23,142, 34,705.80 and 8,348.98 is: 12,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142 : 34,705.80 = 8,348.98 : x
  2. Step 2: Convert to fraction form
    23,142/34,705.80 = 8,348.98/x
  3. Step 3: Cross multiply
    23,142x = 34,705.80 × 8,348.98
  4. Step 4: Simplify right side
    23,142x = 289,758,030.08
  5. Step 5: Solve for x
    x = 289,758,030.08/23,142
  6. Step 6: Final answer
    x = 12,520.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.