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Finding the Fourth Proportional to 5,815.61, 8,724 and 1,865.88

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Solution

The fourth proportional to 5,815.61, 8,724 and 1,865.88 is: 2,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.61 : 8,724 = 1,865.88 : x
  2. Step 2: Convert to fraction form
    5,815.61/8,724 = 1,865.88/x
  3. Step 3: Cross multiply
    5,815.61x = 8,724 × 1,865.88
  4. Step 4: Simplify right side
    5,815.61x = 16,277,937.12
  5. Step 5: Solve for x
    x = 16,277,937.12/5,815.61
  6. Step 6: Final answer
    x = 2,799.01

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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.