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Finding the Fourth Proportional to 26,643.38, 39,952.65 and 7,916.54

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Solution

The fourth proportional to 26,643.38, 39,952.65 and 7,916.54 is: 11,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,643.38 : 39,952.65 = 7,916.54 : x
  2. Step 2: Convert to fraction form
    26,643.38/39,952.65 = 7,916.54/x
  3. Step 3: Cross multiply
    26,643.38x = 39,952.65 × 7,916.54
  4. Step 4: Simplify right side
    26,643.38x = 316,286,751.83
  5. Step 5: Solve for x
    x = 316,286,751.83/26,643.38
  6. Step 6: Final answer
    x = 11,871.12

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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.