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Finding the Fourth Proportional to 9,710.70, 14,570.10 and 3,138.90

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Solution

The fourth proportional to 9,710.70, 14,570.10 and 3,138.90 is: 4,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.70 : 14,570.10 = 3,138.90 : x
  2. Step 2: Convert to fraction form
    9,710.70/14,570.10 = 3,138.90/x
  3. Step 3: Cross multiply
    9,710.70x = 14,570.10 × 3,138.90
  4. Step 4: Simplify right side
    9,710.70x = 45,734,086.89
  5. Step 5: Solve for x
    x = 45,734,086.89/9,710.70
  6. Step 6: Final answer
    x = 4,709.66

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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.