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Finding the Fourth Proportional to 10,661.44, 15,990 and 2,870.32

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Solution

The fourth proportional to 10,661.44, 15,990 and 2,870.32 is: 4,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.44 : 15,990 = 2,870.32 : x
  2. Step 2: Convert to fraction form
    10,661.44/15,990 = 2,870.32/x
  3. Step 3: Cross multiply
    10,661.44x = 15,990 × 2,870.32
  4. Step 4: Simplify right side
    10,661.44x = 45,896,416.80
  5. Step 5: Solve for x
    x = 45,896,416.80/10,661.44
  6. Step 6: Final answer
    x = 4,304.90

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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.