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Finding the Fourth Proportional to 26,854.05, 40,278 and 7,134.21

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Solution

The fourth proportional to 26,854.05, 40,278 and 7,134.21 is: 10,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.05 : 40,278 = 7,134.21 : x
  2. Step 2: Convert to fraction form
    26,854.05/40,278 = 7,134.21/x
  3. Step 3: Cross multiply
    26,854.05x = 40,278 × 7,134.21
  4. Step 4: Simplify right side
    26,854.05x = 287,351,710.38
  5. Step 5: Solve for x
    x = 287,351,710.38/26,854.05
  6. Step 6: Final answer
    x = 10,700.50

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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.