Home / 1,624.49-2,241.57-916.22

Finding the Fourth Proportional to 1,624.49, 2,241.57 and 916.22

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Solution

The fourth proportional to 1,624.49, 2,241.57 and 916.22 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.49 : 2,241.57 = 916.22 : x
  2. Step 2: Convert to fraction form
    1,624.49/2,241.57 = 916.22/x
  3. Step 3: Cross multiply
    1,624.49x = 2,241.57 × 916.22
  4. Step 4: Simplify right side
    1,624.49x = 2,053,760.06
  5. Step 5: Solve for x
    x = 2,053,760.06/1,624.49
  6. Step 6: Final answer
    x = 1,264.25

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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.