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Finding the Fourth Proportional to 5,290.64, 7,933.92 and 1,592

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Solution

The fourth proportional to 5,290.64, 7,933.92 and 1,592 is: 2,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.64 : 7,933.92 = 1,592 : x
  2. Step 2: Convert to fraction form
    5,290.64/7,933.92 = 1,592/x
  3. Step 3: Cross multiply
    5,290.64x = 7,933.92 × 1,592
  4. Step 4: Simplify right side
    5,290.64x = 12,630,800.64
  5. Step 5: Solve for x
    x = 12,630,800.64/5,290.64
  6. Step 6: Final answer
    x = 2,387.39

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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.