Home / 1,689.68-2,531.28-1,307.36

Finding the Fourth Proportional to 1,689.68, 2,531.28 and 1,307.36

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Solution

The fourth proportional to 1,689.68, 2,531.28 and 1,307.36 is: 1,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.68 : 2,531.28 = 1,307.36 : x
  2. Step 2: Convert to fraction form
    1,689.68/2,531.28 = 1,307.36/x
  3. Step 3: Cross multiply
    1,689.68x = 2,531.28 × 1,307.36
  4. Step 4: Simplify right side
    1,689.68x = 3,309,294.22
  5. Step 5: Solve for x
    x = 3,309,294.22/1,689.68
  6. Step 6: Final answer
    x = 1,958.53

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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.