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Finding the Fourth Proportional to 1,967.78, 2,952.35 and 872.91

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Solution

The fourth proportional to 1,967.78, 2,952.35 and 872.91 is: 1,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.78 : 2,952.35 = 872.91 : x
  2. Step 2: Convert to fraction form
    1,967.78/2,952.35 = 872.91/x
  3. Step 3: Cross multiply
    1,967.78x = 2,952.35 × 872.91
  4. Step 4: Simplify right side
    1,967.78x = 2,577,134.75
  5. Step 5: Solve for x
    x = 2,577,134.75/1,967.78
  6. Step 6: Final answer
    x = 1,309.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.