Home / 1,434.08-2,146.20-913.84

Finding the Fourth Proportional to 1,434.08, 2,146.20 and 913.84

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Solution

The fourth proportional to 1,434.08, 2,146.20 and 913.84 is: 1,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.08 : 2,146.20 = 913.84 : x
  2. Step 2: Convert to fraction form
    1,434.08/2,146.20 = 913.84/x
  3. Step 3: Cross multiply
    1,434.08x = 2,146.20 × 913.84
  4. Step 4: Simplify right side
    1,434.08x = 1,961,283.41
  5. Step 5: Solve for x
    x = 1,961,283.41/1,434.08
  6. Step 6: Final answer
    x = 1,367.62

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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.