Home / 3,534.84-5,301.68-1,314.72

Finding the Fourth Proportional to 3,534.84, 5,301.68 and 1,314.72

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Solution

The fourth proportional to 3,534.84, 5,301.68 and 1,314.72 is: 1,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.84 : 5,301.68 = 1,314.72 : x
  2. Step 2: Convert to fraction form
    3,534.84/5,301.68 = 1,314.72/x
  3. Step 3: Cross multiply
    3,534.84x = 5,301.68 × 1,314.72
  4. Step 4: Simplify right side
    3,534.84x = 6,970,218.16
  5. Step 5: Solve for x
    x = 6,970,218.16/3,534.84
  6. Step 6: Final answer
    x = 1,971.86

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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.