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Finding the Fourth Proportional to 7,927.20, 11,897.28 and 7,287.84

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Solution

The fourth proportional to 7,927.20, 11,897.28 and 7,287.84 is: 10,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.20 : 11,897.28 = 7,287.84 : x
  2. Step 2: Convert to fraction form
    7,927.20/11,897.28 = 7,287.84/x
  3. Step 3: Cross multiply
    7,927.20x = 11,897.28 × 7,287.84
  4. Step 4: Simplify right side
    7,927.20x = 86,705,473.08
  5. Step 5: Solve for x
    x = 86,705,473.08/7,927.20
  6. Step 6: Final answer
    x = 10,937.72

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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.