Home / 1,611.28-2,415.24-916.45

Finding the Fourth Proportional to 1,611.28, 2,415.24 and 916.45

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Solution

The fourth proportional to 1,611.28, 2,415.24 and 916.45 is: 1,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.28 : 2,415.24 = 916.45 : x
  2. Step 2: Convert to fraction form
    1,611.28/2,415.24 = 916.45/x
  3. Step 3: Cross multiply
    1,611.28x = 2,415.24 × 916.45
  4. Step 4: Simplify right side
    1,611.28x = 2,213,446.70
  5. Step 5: Solve for x
    x = 2,213,446.70/1,611.28
  6. Step 6: Final answer
    x = 1,373.72

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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.