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Finding the Fourth Proportional to 4,661.76, 6,982.50 and 2,921.88

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Solution

The fourth proportional to 4,661.76, 6,982.50 and 2,921.88 is: 4,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.76 : 6,982.50 = 2,921.88 : x
  2. Step 2: Convert to fraction form
    4,661.76/6,982.50 = 2,921.88/x
  3. Step 3: Cross multiply
    4,661.76x = 6,982.50 × 2,921.88
  4. Step 4: Simplify right side
    4,661.76x = 20,402,027.10
  5. Step 5: Solve for x
    x = 20,402,027.10/4,661.76
  6. Step 6: Final answer
    x = 4,376.46

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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.