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Finding the Fourth Proportional to 15,815.50, 21,823.50 and 8,740.96

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Solution

The fourth proportional to 15,815.50, 21,823.50 and 8,740.96 is: 12,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.50 : 21,823.50 = 8,740.96 : x
  2. Step 2: Convert to fraction form
    15,815.50/21,823.50 = 8,740.96/x
  3. Step 3: Cross multiply
    15,815.50x = 21,823.50 × 8,740.96
  4. Step 4: Simplify right side
    15,815.50x = 190,758,340.56
  5. Step 5: Solve for x
    x = 190,758,340.56/15,815.50
  6. Step 6: Final answer
    x = 12,061.48

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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.