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Finding the Fourth Proportional to 7,686.93, 10,605.11 and 5,035.80

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Solution

The fourth proportional to 7,686.93, 10,605.11 and 5,035.80 is: 6,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.93 : 10,605.11 = 5,035.80 : x
  2. Step 2: Convert to fraction form
    7,686.93/10,605.11 = 5,035.80/x
  3. Step 3: Cross multiply
    7,686.93x = 10,605.11 × 5,035.80
  4. Step 4: Simplify right side
    7,686.93x = 53,405,212.94
  5. Step 5: Solve for x
    x = 53,405,212.94/7,686.93
  6. Step 6: Final answer
    x = 6,947.53

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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.