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Finding the Fourth Proportional to 4,961.68, 6,848.16 and 2,972.64

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Solution

The fourth proportional to 4,961.68, 6,848.16 and 2,972.64 is: 4,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.68 : 6,848.16 = 2,972.64 : x
  2. Step 2: Convert to fraction form
    4,961.68/6,848.16 = 2,972.64/x
  3. Step 3: Cross multiply
    4,961.68x = 6,848.16 × 2,972.64
  4. Step 4: Simplify right side
    4,961.68x = 20,357,114.34
  5. Step 5: Solve for x
    x = 20,357,114.34/4,961.68
  6. Step 6: Final answer
    x = 4,102.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.