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Finding the Fourth Proportional to 1,342.43, 1,851.14 and 1,062.22

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Solution

The fourth proportional to 1,342.43, 1,851.14 and 1,062.22 is: 1,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.43 : 1,851.14 = 1,062.22 : x
  2. Step 2: Convert to fraction form
    1,342.43/1,851.14 = 1,062.22/x
  3. Step 3: Cross multiply
    1,342.43x = 1,851.14 × 1,062.22
  4. Step 4: Simplify right side
    1,342.43x = 1,966,308.68
  5. Step 5: Solve for x
    x = 1,966,308.68/1,342.43
  6. Step 6: Final answer
    x = 1,464.74

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1.5x scale

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.