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Finding the Fourth Proportional to 2,700.76, 4,043.04 and 1,921

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Solution

The fourth proportional to 2,700.76, 4,043.04 and 1,921 is: 2,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.76 : 4,043.04 = 1,921 : x
  2. Step 2: Convert to fraction form
    2,700.76/4,043.04 = 1,921/x
  3. Step 3: Cross multiply
    2,700.76x = 4,043.04 × 1,921
  4. Step 4: Simplify right side
    2,700.76x = 7,766,679.84
  5. Step 5: Solve for x
    x = 7,766,679.84/2,700.76
  6. Step 6: Final answer
    x = 2,875.74

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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.