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Finding the Fourth Proportional to 7,281.20, 9,912.80 and 7,216.40

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Solution

The fourth proportional to 7,281.20, 9,912.80 and 7,216.40 is: 9,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.20 : 9,912.80 = 7,216.40 : x
  2. Step 2: Convert to fraction form
    7,281.20/9,912.80 = 7,216.40/x
  3. Step 3: Cross multiply
    7,281.20x = 9,912.80 × 7,216.40
  4. Step 4: Simplify right side
    7,281.20x = 71,534,729.92
  5. Step 5: Solve for x
    x = 71,534,729.92/7,281.20
  6. Step 6: Final answer
    x = 9,824.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.