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Finding the Fourth Proportional to 2,646.50, 3,971.19 and 1,278.50

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Solution

The fourth proportional to 2,646.50, 3,971.19 and 1,278.50 is: 1,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.50 : 3,971.19 = 1,278.50 : x
  2. Step 2: Convert to fraction form
    2,646.50/3,971.19 = 1,278.50/x
  3. Step 3: Cross multiply
    2,646.50x = 3,971.19 × 1,278.50
  4. Step 4: Simplify right side
    2,646.50x = 5,077,166.42
  5. Step 5: Solve for x
    x = 5,077,166.42/2,646.50
  6. Step 6: Final answer
    x = 1,918.45

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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.