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Finding the Fourth Proportional to 1,798.47, 2,689.47 and 1,306.53

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Solution

The fourth proportional to 1,798.47, 2,689.47 and 1,306.53 is: 1,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.47 : 2,689.47 = 1,306.53 : x
  2. Step 2: Convert to fraction form
    1,798.47/2,689.47 = 1,306.53/x
  3. Step 3: Cross multiply
    1,798.47x = 2,689.47 × 1,306.53
  4. Step 4: Simplify right side
    1,798.47x = 3,513,873.24
  5. Step 5: Solve for x
    x = 3,513,873.24/1,798.47
  6. Step 6: Final answer
    x = 1,953.81

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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.