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Finding the Fourth Proportional to 4,959.82, 7,439.70 and 1,262

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Solution

The fourth proportional to 4,959.82, 7,439.70 and 1,262 is: 1,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.82 : 7,439.70 = 1,262 : x
  2. Step 2: Convert to fraction form
    4,959.82/7,439.70 = 1,262/x
  3. Step 3: Cross multiply
    4,959.82x = 7,439.70 × 1,262
  4. Step 4: Simplify right side
    4,959.82x = 9,388,895.09
  5. Step 5: Solve for x
    x = 9,388,895.09/4,959.82
  6. Step 6: Final answer
    x = 1,892.99

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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.