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Finding the Fourth Proportional to 1,351.17, 1,865.16 and 1,019.68

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Solution

The fourth proportional to 1,351.17, 1,865.16 and 1,019.68 is: 1,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.17 : 1,865.16 = 1,019.68 : x
  2. Step 2: Convert to fraction form
    1,351.17/1,865.16 = 1,019.68/x
  3. Step 3: Cross multiply
    1,351.17x = 1,865.16 × 1,019.68
  4. Step 4: Simplify right side
    1,351.17x = 1,901,861.69
  5. Step 5: Solve for x
    x = 1,901,861.69/1,351.17
  6. Step 6: Final answer
    x = 1,407.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.