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Finding the Fourth Proportional to 1,921.87, 2,883.08 and 947.98

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Solution

The fourth proportional to 1,921.87, 2,883.08 and 947.98 is: 1,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.87 : 2,883.08 = 947.98 : x
  2. Step 2: Convert to fraction form
    1,921.87/2,883.08 = 947.98/x
  3. Step 3: Cross multiply
    1,921.87x = 2,883.08 × 947.98
  4. Step 4: Simplify right side
    1,921.87x = 2,733,102.18
  5. Step 5: Solve for x
    x = 2,733,102.18/1,921.87
  6. Step 6: Final answer
    x = 1,422.11

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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.