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Finding the Fourth Proportional to 15,775.32, 23,670 and 8,377.98

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Solution

The fourth proportional to 15,775.32, 23,670 and 8,377.98 is: 12,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.32 : 23,670 = 8,377.98 : x
  2. Step 2: Convert to fraction form
    15,775.32/23,670 = 8,377.98/x
  3. Step 3: Cross multiply
    15,775.32x = 23,670 × 8,377.98
  4. Step 4: Simplify right side
    15,775.32x = 198,306,786.60
  5. Step 5: Solve for x
    x = 198,306,786.60/15,775.32
  6. Step 6: Final answer
    x = 12,570.70

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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.