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Finding the Fourth Proportional to 5,265.90, 7,899.30 and 1,567.89

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Solution

The fourth proportional to 5,265.90, 7,899.30 and 1,567.89 is: 2,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.90 : 7,899.30 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    5,265.90/7,899.30 = 1,567.89/x
  3. Step 3: Cross multiply
    5,265.90x = 7,899.30 × 1,567.89
  4. Step 4: Simplify right side
    5,265.90x = 12,385,233.48
  5. Step 5: Solve for x
    x = 12,385,233.48/5,265.90
  6. Step 6: Final answer
    x = 2,351.97

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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.