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Finding the Fourth Proportional to 2,102.70, 3,152.43 and 715.17

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Solution

The fourth proportional to 2,102.70, 3,152.43 and 715.17 is: 1,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.70 : 3,152.43 = 715.17 : x
  2. Step 2: Convert to fraction form
    2,102.70/3,152.43 = 715.17/x
  3. Step 3: Cross multiply
    2,102.70x = 3,152.43 × 715.17
  4. Step 4: Simplify right side
    2,102.70x = 2,254,523.36
  5. Step 5: Solve for x
    x = 2,254,523.36/2,102.70
  6. Step 6: Final answer
    x = 1,072.20

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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.