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Finding the Fourth Proportional to 2,642.79, 3,646.89 and 1,463.79

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Solution

The fourth proportional to 2,642.79, 3,646.89 and 1,463.79 is: 2,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.79 : 3,646.89 = 1,463.79 : x
  2. Step 2: Convert to fraction form
    2,642.79/3,646.89 = 1,463.79/x
  3. Step 3: Cross multiply
    2,642.79x = 3,646.89 × 1,463.79
  4. Step 4: Simplify right side
    2,642.79x = 5,338,281.11
  5. Step 5: Solve for x
    x = 5,338,281.11/2,642.79
  6. Step 6: Final answer
    x = 2,019.94

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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.