Home / 1,624.24-2,241.54-916.20

Finding the Fourth Proportional to 1,624.24, 2,241.54 and 916.20

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Solution

The fourth proportional to 1,624.24, 2,241.54 and 916.20 is: 1,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.24 : 2,241.54 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,624.24/2,241.54 = 916.20/x
  3. Step 3: Cross multiply
    1,624.24x = 2,241.54 × 916.20
  4. Step 4: Simplify right side
    1,624.24x = 2,053,698.95
  5. Step 5: Solve for x
    x = 2,053,698.95/1,624.24
  6. Step 6: Final answer
    x = 1,264.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.