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Finding the Fourth Proportional to 2,729.56, 4,097.52 and 1,564

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Solution

The fourth proportional to 2,729.56, 4,097.52 and 1,564 is: 2,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.56 : 4,097.52 = 1,564 : x
  2. Step 2: Convert to fraction form
    2,729.56/4,097.52 = 1,564/x
  3. Step 3: Cross multiply
    2,729.56x = 4,097.52 × 1,564
  4. Step 4: Simplify right side
    2,729.56x = 6,408,521.28
  5. Step 5: Solve for x
    x = 6,408,521.28/2,729.56
  6. Step 6: Final answer
    x = 2,347.82

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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.