Home / 3,114.40-4,672.28-923.00

Finding the Fourth Proportional to 3,114.40, 4,672.28 and 923.00

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Solution

The fourth proportional to 3,114.40, 4,672.28 and 923.00 is: 1,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.40 : 4,672.28 = 923.00 : x
  2. Step 2: Convert to fraction form
    3,114.40/4,672.28 = 923.00/x
  3. Step 3: Cross multiply
    3,114.40x = 4,672.28 × 923.00
  4. Step 4: Simplify right side
    3,114.40x = 4,312,493.39
  5. Step 5: Solve for x
    x = 4,312,493.39/3,114.40
  6. Step 6: Final answer
    x = 1,384.70

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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.