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Finding the Fourth Proportional to 7,191.30, 9,923.28 and 5,303.90

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Solution

The fourth proportional to 7,191.30, 9,923.28 and 5,303.90 is: 7,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.30 : 9,923.28 = 5,303.90 : x
  2. Step 2: Convert to fraction form
    7,191.30/9,923.28 = 5,303.90/x
  3. Step 3: Cross multiply
    7,191.30x = 9,923.28 × 5,303.90
  4. Step 4: Simplify right side
    7,191.30x = 52,632,035.18
  5. Step 5: Solve for x
    x = 52,632,035.18/7,191.30
  6. Step 6: Final answer
    x = 7,318.85

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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.