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Finding the Fourth Proportional to 4,691.70, 7,036.69 and 1,729.50

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Solution

The fourth proportional to 4,691.70, 7,036.69 and 1,729.50 is: 2,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.70 : 7,036.69 = 1,729.50 : x
  2. Step 2: Convert to fraction form
    4,691.70/7,036.69 = 1,729.50/x
  3. Step 3: Cross multiply
    4,691.70x = 7,036.69 × 1,729.50
  4. Step 4: Simplify right side
    4,691.70x = 12,169,955.36
  5. Step 5: Solve for x
    x = 12,169,955.36/4,691.70
  6. Step 6: Final answer
    x = 2,593.93

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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.