Home / 1,624.42-2,241.68-916.32

Finding the Fourth Proportional to 1,624.42, 2,241.68 and 916.32

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Solution

The fourth proportional to 1,624.42, 2,241.68 and 916.32 is: 1,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.42 : 2,241.68 = 916.32 : x
  2. Step 2: Convert to fraction form
    1,624.42/2,241.68 = 916.32/x
  3. Step 3: Cross multiply
    1,624.42x = 2,241.68 × 916.32
  4. Step 4: Simplify right side
    1,624.42x = 2,054,100.04
  5. Step 5: Solve for x
    x = 2,054,100.04/1,624.42
  6. Step 6: Final answer
    x = 1,264.51

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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.