Home / 2,428.10-3,642.14-966.91

Finding the Fourth Proportional to 2,428.10, 3,642.14 and 966.91

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Solution

The fourth proportional to 2,428.10, 3,642.14 and 966.91 is: 1,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.10 : 3,642.14 = 966.91 : x
  2. Step 2: Convert to fraction form
    2,428.10/3,642.14 = 966.91/x
  3. Step 3: Cross multiply
    2,428.10x = 3,642.14 × 966.91
  4. Step 4: Simplify right side
    2,428.10x = 3,521,621.59
  5. Step 5: Solve for x
    x = 3,521,621.59/2,428.10
  6. Step 6: Final answer
    x = 1,450.36

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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.