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Finding the Fourth Proportional to 1,242.78, 1,717.20 and 1,021.56

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Solution

The fourth proportional to 1,242.78, 1,717.20 and 1,021.56 is: 1,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.78 : 1,717.20 = 1,021.56 : x
  2. Step 2: Convert to fraction form
    1,242.78/1,717.20 = 1,021.56/x
  3. Step 3: Cross multiply
    1,242.78x = 1,717.20 × 1,021.56
  4. Step 4: Simplify right side
    1,242.78x = 1,754,222.83
  5. Step 5: Solve for x
    x = 1,754,222.83/1,242.78
  6. Step 6: Final answer
    x = 1,411.53

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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.