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Finding the Fourth Proportional to 1,186.78, 1,780.18 and 1,097.50

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Solution

The fourth proportional to 1,186.78, 1,780.18 and 1,097.50 is: 1,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.78 : 1,780.18 = 1,097.50 : x
  2. Step 2: Convert to fraction form
    1,186.78/1,780.18 = 1,097.50/x
  3. Step 3: Cross multiply
    1,186.78x = 1,780.18 × 1,097.50
  4. Step 4: Simplify right side
    1,186.78x = 1,953,747.55
  5. Step 5: Solve for x
    x = 1,953,747.55/1,186.78
  6. Step 6: Final answer
    x = 1,646.26

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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.