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Finding the Fourth Proportional to 7,641.68, 11,447.72 and 4,471.45

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Solution

The fourth proportional to 7,641.68, 11,447.72 and 4,471.45 is: 6,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.68 : 11,447.72 = 4,471.45 : x
  2. Step 2: Convert to fraction form
    7,641.68/11,447.72 = 4,471.45/x
  3. Step 3: Cross multiply
    7,641.68x = 11,447.72 × 4,471.45
  4. Step 4: Simplify right side
    7,641.68x = 51,187,907.59
  5. Step 5: Solve for x
    x = 51,187,907.59/7,641.68
  6. Step 6: Final answer
    x = 6,698.51

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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.