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Finding the Fourth Proportional to 7,208.47, 9,947.70 and 4,064.66

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Solution

The fourth proportional to 7,208.47, 9,947.70 and 4,064.66 is: 5,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.47 : 9,947.70 = 4,064.66 : x
  2. Step 2: Convert to fraction form
    7,208.47/9,947.70 = 4,064.66/x
  3. Step 3: Cross multiply
    7,208.47x = 9,947.70 × 4,064.66
  4. Step 4: Simplify right side
    7,208.47x = 40,433,968.54
  5. Step 5: Solve for x
    x = 40,433,968.54/7,208.47
  6. Step 6: Final answer
    x = 5,609.23

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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.