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Finding the Fourth Proportional to 2,689.71, 3,711.99 and 1,570.68

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Solution

The fourth proportional to 2,689.71, 3,711.99 and 1,570.68 is: 2,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.71 : 3,711.99 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    2,689.71/3,711.99 = 1,570.68/x
  3. Step 3: Cross multiply
    2,689.71x = 3,711.99 × 1,570.68
  4. Step 4: Simplify right side
    2,689.71x = 5,830,348.45
  5. Step 5: Solve for x
    x = 5,830,348.45/2,689.71
  6. Step 6: Final answer
    x = 2,167.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.