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Finding the Fourth Proportional to 10,497, 15,745.55 and 2,705.79

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Solution

The fourth proportional to 10,497, 15,745.55 and 2,705.79 is: 4,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 15,745.55 = 2,705.79 : x
  2. Step 2: Convert to fraction form
    10,497/15,745.55 = 2,705.79/x
  3. Step 3: Cross multiply
    10,497x = 15,745.55 × 2,705.79
  4. Step 4: Simplify right side
    10,497x = 42,604,138.21
  5. Step 5: Solve for x
    x = 42,604,138.21/10,497
  6. Step 6: Final answer
    x = 4,058.70

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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.