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Finding the Fourth Proportional to 7,899, 11,848.50 and 2,705.28

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Solution

The fourth proportional to 7,899, 11,848.50 and 2,705.28 is: 4,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899 : 11,848.50 = 2,705.28 : x
  2. Step 2: Convert to fraction form
    7,899/11,848.50 = 2,705.28/x
  3. Step 3: Cross multiply
    7,899x = 11,848.50 × 2,705.28
  4. Step 4: Simplify right side
    7,899x = 32,053,510.08
  5. Step 5: Solve for x
    x = 32,053,510.08/7,899
  6. Step 6: Final answer
    x = 4,057.92

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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.