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Finding the Fourth Proportional to 4,647.32, 6,972.75 and 2,799.75

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Solution

The fourth proportional to 4,647.32, 6,972.75 and 2,799.75 is: 4,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.32 : 6,972.75 = 2,799.75 : x
  2. Step 2: Convert to fraction form
    4,647.32/6,972.75 = 2,799.75/x
  3. Step 3: Cross multiply
    4,647.32x = 6,972.75 × 2,799.75
  4. Step 4: Simplify right side
    4,647.32x = 19,521,956.81
  5. Step 5: Solve for x
    x = 19,521,956.81/4,647.32
  6. Step 6: Final answer
    x = 4,200.70

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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.