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Finding the Fourth Proportional to 1,695.95, 2,544.31 and 915.92

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Solution

The fourth proportional to 1,695.95, 2,544.31 and 915.92 is: 1,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.95 : 2,544.31 = 915.92 : x
  2. Step 2: Convert to fraction form
    1,695.95/2,544.31 = 915.92/x
  3. Step 3: Cross multiply
    1,695.95x = 2,544.31 × 915.92
  4. Step 4: Simplify right side
    1,695.95x = 2,330,396.69
  5. Step 5: Solve for x
    x = 2,330,396.69/1,695.95
  6. Step 6: Final answer
    x = 1,374.09

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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.