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Finding the Fourth Proportional to 1,315.46, 1,971.27 and 951.02

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Solution

The fourth proportional to 1,315.46, 1,971.27 and 951.02 is: 1,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.46 : 1,971.27 = 951.02 : x
  2. Step 2: Convert to fraction form
    1,315.46/1,971.27 = 951.02/x
  3. Step 3: Cross multiply
    1,315.46x = 1,971.27 × 951.02
  4. Step 4: Simplify right side
    1,315.46x = 1,874,717.20
  5. Step 5: Solve for x
    x = 1,874,717.20/1,315.46
  6. Step 6: Final answer
    x = 1,425.14

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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.