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Finding the Fourth Proportional to 1,539.89, 2,307.20 and 847.14

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Solution

The fourth proportional to 1,539.89, 2,307.20 and 847.14 is: 1,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.89 : 2,307.20 = 847.14 : x
  2. Step 2: Convert to fraction form
    1,539.89/2,307.20 = 847.14/x
  3. Step 3: Cross multiply
    1,539.89x = 2,307.20 × 847.14
  4. Step 4: Simplify right side
    1,539.89x = 1,954,517.17
  5. Step 5: Solve for x
    x = 1,954,517.17/1,539.89
  6. Step 6: Final answer
    x = 1,269.26

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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.