Home / 1,689.95-2,531.76-1,141.19

Finding the Fourth Proportional to 1,689.95, 2,531.76 and 1,141.19

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Solution

The fourth proportional to 1,689.95, 2,531.76 and 1,141.19 is: 1,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.95 : 2,531.76 = 1,141.19 : x
  2. Step 2: Convert to fraction form
    1,689.95/2,531.76 = 1,141.19/x
  3. Step 3: Cross multiply
    1,689.95x = 2,531.76 × 1,141.19
  4. Step 4: Simplify right side
    1,689.95x = 2,889,219.19
  5. Step 5: Solve for x
    x = 2,889,219.19/1,689.95
  6. Step 6: Final answer
    x = 1,709.65

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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.