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Finding the Fourth Proportional to 5,186.71, 7,780.02 and 1,291.11

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Solution

The fourth proportional to 5,186.71, 7,780.02 and 1,291.11 is: 1,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.71 : 7,780.02 = 1,291.11 : x
  2. Step 2: Convert to fraction form
    5,186.71/7,780.02 = 1,291.11/x
  3. Step 3: Cross multiply
    5,186.71x = 7,780.02 × 1,291.11
  4. Step 4: Simplify right side
    5,186.71x = 10,044,904.14
  5. Step 5: Solve for x
    x = 10,044,904.14/5,186.71
  6. Step 6: Final answer
    x = 1,936.66

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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.