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Finding the Fourth Proportional to 28,596.74, 42,895.11 and 8,870

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Solution

The fourth proportional to 28,596.74, 42,895.11 and 8,870 is: 13,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.74 : 42,895.11 = 8,870 : x
  2. Step 2: Convert to fraction form
    28,596.74/42,895.11 = 8,870/x
  3. Step 3: Cross multiply
    28,596.74x = 42,895.11 × 8,870
  4. Step 4: Simplify right side
    28,596.74x = 380,479,625.70
  5. Step 5: Solve for x
    x = 380,479,625.70/28,596.74
  6. Step 6: Final answer
    x = 13,305.00

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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.