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Finding the Fourth Proportional to 9,959.20, 14,938.80 and 4,775.20

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Solution

The fourth proportional to 9,959.20, 14,938.80 and 4,775.20 is: 7,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.20 : 14,938.80 = 4,775.20 : x
  2. Step 2: Convert to fraction form
    9,959.20/14,938.80 = 4,775.20/x
  3. Step 3: Cross multiply
    9,959.20x = 14,938.80 × 4,775.20
  4. Step 4: Simplify right side
    9,959.20x = 71,335,757.76
  5. Step 5: Solve for x
    x = 71,335,757.76/9,959.20
  6. Step 6: Final answer
    x = 7,162.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.