Home / 2,142.60-3,215.70-974.40

Finding the Fourth Proportional to 2,142.60, 3,215.70 and 974.40

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Solution

The fourth proportional to 2,142.60, 3,215.70 and 974.40 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.60 : 3,215.70 = 974.40 : x
  2. Step 2: Convert to fraction form
    2,142.60/3,215.70 = 974.40/x
  3. Step 3: Cross multiply
    2,142.60x = 3,215.70 × 974.40
  4. Step 4: Simplify right side
    2,142.60x = 3,133,378.08
  5. Step 5: Solve for x
    x = 3,133,378.08/2,142.60
  6. Step 6: Final answer
    x = 1,462.42

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1.5x scale

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.