Home / 2,580.14-3,870.35-731.18

Finding the Fourth Proportional to 2,580.14, 3,870.35 and 731.18

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Solution

The fourth proportional to 2,580.14, 3,870.35 and 731.18 is: 1,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.14 : 3,870.35 = 731.18 : x
  2. Step 2: Convert to fraction form
    2,580.14/3,870.35 = 731.18/x
  3. Step 3: Cross multiply
    2,580.14x = 3,870.35 × 731.18
  4. Step 4: Simplify right side
    2,580.14x = 2,829,899.51
  5. Step 5: Solve for x
    x = 2,829,899.51/2,580.14
  6. Step 6: Final answer
    x = 1,096.80

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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.