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Finding the Fourth Proportional to 12,791, 19,187.58 and 3,557

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Solution

The fourth proportional to 12,791, 19,187.58 and 3,557 is: 5,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791 : 19,187.58 = 3,557 : x
  2. Step 2: Convert to fraction form
    12,791/19,187.58 = 3,557/x
  3. Step 3: Cross multiply
    12,791x = 19,187.58 × 3,557
  4. Step 4: Simplify right side
    12,791x = 68,250,222.06
  5. Step 5: Solve for x
    x = 68,250,222.06/12,791
  6. Step 6: Final answer
    x = 5,335.80

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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.