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Finding the Fourth Proportional to 7,201.80, 9,928.62 and 4,547.88

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Solution

The fourth proportional to 7,201.80, 9,928.62 and 4,547.88 is: 6,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.80 : 9,928.62 = 4,547.88 : x
  2. Step 2: Convert to fraction form
    7,201.80/9,928.62 = 4,547.88/x
  3. Step 3: Cross multiply
    7,201.80x = 9,928.62 × 4,547.88
  4. Step 4: Simplify right side
    7,201.80x = 45,154,172.33
  5. Step 5: Solve for x
    x = 45,154,172.33/7,201.80
  6. Step 6: Final answer
    x = 6,269.85

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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.