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Finding the Fourth Proportional to 4,886.88, 7,333.02 and 1,964.40

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Solution

The fourth proportional to 4,886.88, 7,333.02 and 1,964.40 is: 2,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.88 : 7,333.02 = 1,964.40 : x
  2. Step 2: Convert to fraction form
    4,886.88/7,333.02 = 1,964.40/x
  3. Step 3: Cross multiply
    4,886.88x = 7,333.02 × 1,964.40
  4. Step 4: Simplify right side
    4,886.88x = 14,404,984.49
  5. Step 5: Solve for x
    x = 14,404,984.49/4,886.88
  6. Step 6: Final answer
    x = 2,947.69

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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.