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Finding the Fourth Proportional to 1,539.81, 2,311.76 and 916.26

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Solution

The fourth proportional to 1,539.81, 2,311.76 and 916.26 is: 1,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.81 : 2,311.76 = 916.26 : x
  2. Step 2: Convert to fraction form
    1,539.81/2,311.76 = 916.26/x
  3. Step 3: Cross multiply
    1,539.81x = 2,311.76 × 916.26
  4. Step 4: Simplify right side
    1,539.81x = 2,118,174.69
  5. Step 5: Solve for x
    x = 2,118,174.69/1,539.81
  6. Step 6: Final answer
    x = 1,375.61

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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.