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Finding the Fourth Proportional to 5,259.27, 7,890.02 and 1,561.76

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Solution

The fourth proportional to 5,259.27, 7,890.02 and 1,561.76 is: 2,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.27 : 7,890.02 = 1,561.76 : x
  2. Step 2: Convert to fraction form
    5,259.27/7,890.02 = 1,561.76/x
  3. Step 3: Cross multiply
    5,259.27x = 7,890.02 × 1,561.76
  4. Step 4: Simplify right side
    5,259.27x = 12,322,270.38
  5. Step 5: Solve for x
    x = 12,322,270.38/5,259.27
  6. Step 6: Final answer
    x = 2,342.96

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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.