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Finding the Fourth Proportional to 10,497, 15,745.56 and 2,705.28

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Solution

The fourth proportional to 10,497, 15,745.56 and 2,705.28 is: 4,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 15,745.56 = 2,705.28 : x
  2. Step 2: Convert to fraction form
    10,497/15,745.56 = 2,705.28/x
  3. Step 3: Cross multiply
    10,497x = 15,745.56 × 2,705.28
  4. Step 4: Simplify right side
    10,497x = 42,596,148.56
  5. Step 5: Solve for x
    x = 42,596,148.56/10,497
  6. Step 6: Final answer
    x = 4,057.94

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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.