Home / 1,471.07-2,207.23-916.25

Finding the Fourth Proportional to 1,471.07, 2,207.23 and 916.25

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Solution

The fourth proportional to 1,471.07, 2,207.23 and 916.25 is: 1,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.07 : 2,207.23 = 916.25 : x
  2. Step 2: Convert to fraction form
    1,471.07/2,207.23 = 916.25/x
  3. Step 3: Cross multiply
    1,471.07x = 2,207.23 × 916.25
  4. Step 4: Simplify right side
    1,471.07x = 2,022,361.16
  5. Step 5: Solve for x
    x = 2,022,361.16/1,471.07
  6. Step 6: Final answer
    x = 1,374.75

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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.