Home / 2,148.20-3,222.90-916.20

Finding the Fourth Proportional to 2,148.20, 3,222.90 and 916.20

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Solution

The fourth proportional to 2,148.20, 3,222.90 and 916.20 is: 1,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.20 : 3,222.90 = 916.20 : x
  2. Step 2: Convert to fraction form
    2,148.20/3,222.90 = 916.20/x
  3. Step 3: Cross multiply
    2,148.20x = 3,222.90 × 916.20
  4. Step 4: Simplify right side
    2,148.20x = 2,952,820.98
  5. Step 5: Solve for x
    x = 2,952,820.98/2,148.20
  6. Step 6: Final answer
    x = 1,374.56

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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.