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Finding the Fourth Proportional to 5,681, 8,521.98 and 1,577

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Solution

The fourth proportional to 5,681, 8,521.98 and 1,577 is: 2,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 8,521.98 = 1,577 : x
  2. Step 2: Convert to fraction form
    5,681/8,521.98 = 1,577/x
  3. Step 3: Cross multiply
    5,681x = 8,521.98 × 1,577
  4. Step 4: Simplify right side
    5,681x = 13,439,162.46
  5. Step 5: Solve for x
    x = 13,439,162.46/5,681
  6. Step 6: Final answer
    x = 2,365.63

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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.