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Finding the Fourth Proportional to 7,686.75, 10,605.83 and 5,129.48

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Solution

The fourth proportional to 7,686.75, 10,605.83 and 5,129.48 is: 7,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.75 : 10,605.83 = 5,129.48 : x
  2. Step 2: Convert to fraction form
    7,686.75/10,605.83 = 5,129.48/x
  3. Step 3: Cross multiply
    7,686.75x = 10,605.83 × 5,129.48
  4. Step 4: Simplify right side
    7,686.75x = 54,402,392.87
  5. Step 5: Solve for x
    x = 54,402,392.87/7,686.75
  6. Step 6: Final answer
    x = 7,077.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.