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Finding the Fourth Proportional to 7,197.68, 10,796.50 and 4,117.52

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Solution

The fourth proportional to 7,197.68, 10,796.50 and 4,117.52 is: 6,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.68 : 10,796.50 = 4,117.52 : x
  2. Step 2: Convert to fraction form
    7,197.68/10,796.50 = 4,117.52/x
  3. Step 3: Cross multiply
    7,197.68x = 10,796.50 × 4,117.52
  4. Step 4: Simplify right side
    7,197.68x = 44,454,804.68
  5. Step 5: Solve for x
    x = 44,454,804.68/7,197.68
  6. Step 6: Final answer
    x = 6,176.27

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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.