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Finding the Fourth Proportional to 5,742.98, 8,615.79 and 2,045.42

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Solution

The fourth proportional to 5,742.98, 8,615.79 and 2,045.42 is: 3,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.98 : 8,615.79 = 2,045.42 : x
  2. Step 2: Convert to fraction form
    5,742.98/8,615.79 = 2,045.42/x
  3. Step 3: Cross multiply
    5,742.98x = 8,615.79 × 2,045.42
  4. Step 4: Simplify right side
    5,742.98x = 17,622,909.18
  5. Step 5: Solve for x
    x = 17,622,909.18/5,742.98
  6. Step 6: Final answer
    x = 3,068.60

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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.