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Finding the Fourth Proportional to 18,902.20, 28,345.20 and 7,805.20

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Solution

The fourth proportional to 18,902.20, 28,345.20 and 7,805.20 is: 11,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902.20 : 28,345.20 = 7,805.20 : x
  2. Step 2: Convert to fraction form
    18,902.20/28,345.20 = 7,805.20/x
  3. Step 3: Cross multiply
    18,902.20x = 28,345.20 × 7,805.20
  4. Step 4: Simplify right side
    18,902.20x = 221,239,955.04
  5. Step 5: Solve for x
    x = 221,239,955.04/18,902.20
  6. Step 6: Final answer
    x = 11,704.46

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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.