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Finding the Fourth Proportional to 12,671.38, 19,007.13 and 3,437.38

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Solution

The fourth proportional to 12,671.38, 19,007.13 and 3,437.38 is: 5,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.38 : 19,007.13 = 3,437.38 : x
  2. Step 2: Convert to fraction form
    12,671.38/19,007.13 = 3,437.38/x
  3. Step 3: Cross multiply
    12,671.38x = 19,007.13 × 3,437.38
  4. Step 4: Simplify right side
    12,671.38x = 65,334,633.48
  5. Step 5: Solve for x
    x = 65,334,633.48/12,671.38
  6. Step 6: Final answer
    x = 5,156.08

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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.