Home / 1,357.64-2,031.40-968.54

Finding the Fourth Proportional to 1,357.64, 2,031.40 and 968.54

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Solution

The fourth proportional to 1,357.64, 2,031.40 and 968.54 is: 1,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.64 : 2,031.40 = 968.54 : x
  2. Step 2: Convert to fraction form
    1,357.64/2,031.40 = 968.54/x
  3. Step 3: Cross multiply
    1,357.64x = 2,031.40 × 968.54
  4. Step 4: Simplify right side
    1,357.64x = 1,967,492.16
  5. Step 5: Solve for x
    x = 1,967,492.16/1,357.64
  6. Step 6: Final answer
    x = 1,449.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.