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Finding the Fourth Proportional to 10,662.78, 15,972.75 and 5,309.83

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Solution

The fourth proportional to 10,662.78, 15,972.75 and 5,309.83 is: 7,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.78 : 15,972.75 = 5,309.83 : x
  2. Step 2: Convert to fraction form
    10,662.78/15,972.75 = 5,309.83/x
  3. Step 3: Cross multiply
    10,662.78x = 15,972.75 × 5,309.83
  4. Step 4: Simplify right side
    10,662.78x = 84,812,547.20
  5. Step 5: Solve for x
    x = 84,812,547.20/10,662.78
  6. Step 6: Final answer
    x = 7,954.07

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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.