Home / 2,281.68-3,416.76-1,306.08

Finding the Fourth Proportional to 2,281.68, 3,416.76 and 1,306.08

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Solution

The fourth proportional to 2,281.68, 3,416.76 and 1,306.08 is: 1,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.68 : 3,416.76 = 1,306.08 : x
  2. Step 2: Convert to fraction form
    2,281.68/3,416.76 = 1,306.08/x
  3. Step 3: Cross multiply
    2,281.68x = 3,416.76 × 1,306.08
  4. Step 4: Simplify right side
    2,281.68x = 4,462,561.90
  5. Step 5: Solve for x
    x = 4,462,561.90/2,281.68
  6. Step 6: Final answer
    x = 1,955.82

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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.