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Finding the Fourth Proportional to 1,281.95, 1,923.83 and 871.48

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Solution

The fourth proportional to 1,281.95, 1,923.83 and 871.48 is: 1,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.95 : 1,923.83 = 871.48 : x
  2. Step 2: Convert to fraction form
    1,281.95/1,923.83 = 871.48/x
  3. Step 3: Cross multiply
    1,281.95x = 1,923.83 × 871.48
  4. Step 4: Simplify right side
    1,281.95x = 1,676,579.37
  5. Step 5: Solve for x
    x = 1,676,579.37/1,281.95
  6. Step 6: Final answer
    x = 1,307.84

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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.