Home / 1,828.02-2,740.35-731.70

Finding the Fourth Proportional to 1,828.02, 2,740.35 and 731.70

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Solution

The fourth proportional to 1,828.02, 2,740.35 and 731.70 is: 1,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.02 : 2,740.35 = 731.70 : x
  2. Step 2: Convert to fraction form
    1,828.02/2,740.35 = 731.70/x
  3. Step 3: Cross multiply
    1,828.02x = 2,740.35 × 731.70
  4. Step 4: Simplify right side
    1,828.02x = 2,005,114.10
  5. Step 5: Solve for x
    x = 2,005,114.10/1,828.02
  6. Step 6: Final answer
    x = 1,096.88

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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.