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Finding the Fourth Proportional to 7,202.80, 9,930 and 4,548.88

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Solution

The fourth proportional to 7,202.80, 9,930 and 4,548.88 is: 6,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.80 : 9,930 = 4,548.88 : x
  2. Step 2: Convert to fraction form
    7,202.80/9,930 = 4,548.88/x
  3. Step 3: Cross multiply
    7,202.80x = 9,930 × 4,548.88
  4. Step 4: Simplify right side
    7,202.80x = 45,170,378.40
  5. Step 5: Solve for x
    x = 45,170,378.40/7,202.80
  6. Step 6: Final answer
    x = 6,271.22

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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.