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Finding the Fourth Proportional to 1,539.34, 2,308.56 and 1,195

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Solution

The fourth proportional to 1,539.34, 2,308.56 and 1,195 is: 1,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.34 : 2,308.56 = 1,195 : x
  2. Step 2: Convert to fraction form
    1,539.34/2,308.56 = 1,195/x
  3. Step 3: Cross multiply
    1,539.34x = 2,308.56 × 1,195
  4. Step 4: Simplify right side
    1,539.34x = 2,758,729.20
  5. Step 5: Solve for x
    x = 2,758,729.20/1,539.34
  6. Step 6: Final answer
    x = 1,792.15

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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.