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Finding the Fourth Proportional to 1,242.43, 1,856.95 and 1,085.02

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Solution

The fourth proportional to 1,242.43, 1,856.95 and 1,085.02 is: 1,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.43 : 1,856.95 = 1,085.02 : x
  2. Step 2: Convert to fraction form
    1,242.43/1,856.95 = 1,085.02/x
  3. Step 3: Cross multiply
    1,242.43x = 1,856.95 × 1,085.02
  4. Step 4: Simplify right side
    1,242.43x = 2,014,820.53
  5. Step 5: Solve for x
    x = 2,014,820.53/1,242.43
  6. Step 6: Final answer
    x = 1,621.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.