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Finding the Fourth Proportional to 7,188.15, 9,919.80 and 4,205.71

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Solution

The fourth proportional to 7,188.15, 9,919.80 and 4,205.71 is: 5,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.15 : 9,919.80 = 4,205.71 : x
  2. Step 2: Convert to fraction form
    7,188.15/9,919.80 = 4,205.71/x
  3. Step 3: Cross multiply
    7,188.15x = 9,919.80 × 4,205.71
  4. Step 4: Simplify right side
    7,188.15x = 41,719,752.46
  5. Step 5: Solve for x
    x = 41,719,752.46/7,188.15
  6. Step 6: Final answer
    x = 5,803.96

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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.