Home / 2,129.56-3,195.16-974.50

Finding the Fourth Proportional to 2,129.56, 3,195.16 and 974.50

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Solution

The fourth proportional to 2,129.56, 3,195.16 and 974.50 is: 1,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.56 : 3,195.16 = 974.50 : x
  2. Step 2: Convert to fraction form
    2,129.56/3,195.16 = 974.50/x
  3. Step 3: Cross multiply
    2,129.56x = 3,195.16 × 974.50
  4. Step 4: Simplify right side
    2,129.56x = 3,113,683.42
  5. Step 5: Solve for x
    x = 3,113,683.42/2,129.56
  6. Step 6: Final answer
    x = 1,462.13

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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.