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Finding the Fourth Proportional to 2,689.53, 3,711.48 and 1,510.47

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Solution

The fourth proportional to 2,689.53, 3,711.48 and 1,510.47 is: 2,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.53 : 3,711.48 = 1,510.47 : x
  2. Step 2: Convert to fraction form
    2,689.53/3,711.48 = 1,510.47/x
  3. Step 3: Cross multiply
    2,689.53x = 3,711.48 × 1,510.47
  4. Step 4: Simplify right side
    2,689.53x = 5,606,079.20
  5. Step 5: Solve for x
    x = 5,606,079.20/2,689.53
  6. Step 6: Final answer
    x = 2,084.41

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1.5x scale

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.