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Finding the Fourth Proportional to 2,642.61, 3,646.51 and 1,463.39

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Solution

The fourth proportional to 2,642.61, 3,646.51 and 1,463.39 is: 2,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.61 : 3,646.51 = 1,463.39 : x
  2. Step 2: Convert to fraction form
    2,642.61/3,646.51 = 1,463.39/x
  3. Step 3: Cross multiply
    2,642.61x = 3,646.51 × 1,463.39
  4. Step 4: Simplify right side
    2,642.61x = 5,336,244.38
  5. Step 5: Solve for x
    x = 5,336,244.38/2,642.61
  6. Step 6: Final answer
    x = 2,019.31

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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.