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Finding the Fourth Proportional to 7,149.87, 10,713.09 and 6,876.50

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Solution

The fourth proportional to 7,149.87, 10,713.09 and 6,876.50 is: 10,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.87 : 10,713.09 = 6,876.50 : x
  2. Step 2: Convert to fraction form
    7,149.87/10,713.09 = 6,876.50/x
  3. Step 3: Cross multiply
    7,149.87x = 10,713.09 × 6,876.50
  4. Step 4: Simplify right side
    7,149.87x = 73,668,509.82
  5. Step 5: Solve for x
    x = 73,668,509.82/7,149.87
  6. Step 6: Final answer
    x = 10,303.48

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1.5x scale

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.