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Finding the Fourth Proportional to 7,194.80, 9,928.12 and 5,307.38

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Solution

The fourth proportional to 7,194.80, 9,928.12 and 5,307.38 is: 7,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.80 : 9,928.12 = 5,307.38 : x
  2. Step 2: Convert to fraction form
    7,194.80/9,928.12 = 5,307.38/x
  3. Step 3: Cross multiply
    7,194.80x = 9,928.12 × 5,307.38
  4. Step 4: Simplify right side
    7,194.80x = 52,692,305.53
  5. Step 5: Solve for x
    x = 52,692,305.53/7,194.80
  6. Step 6: Final answer
    x = 7,323.67

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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.