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Finding the Fourth Proportional to 1,350.42, 1,862.91 and 931.20

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Solution

The fourth proportional to 1,350.42, 1,862.91 and 931.20 is: 1,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.42 : 1,862.91 = 931.20 : x
  2. Step 2: Convert to fraction form
    1,350.42/1,862.91 = 931.20/x
  3. Step 3: Cross multiply
    1,350.42x = 1,862.91 × 931.20
  4. Step 4: Simplify right side
    1,350.42x = 1,734,741.79
  5. Step 5: Solve for x
    x = 1,734,741.79/1,350.42
  6. Step 6: Final answer
    x = 1,284.59

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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.