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Finding the Fourth Proportional to 21,299.66, 31,964.05 and 7,448.66

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Solution

The fourth proportional to 21,299.66, 31,964.05 and 7,448.66 is: 11,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.66 : 31,964.05 = 7,448.66 : x
  2. Step 2: Convert to fraction form
    21,299.66/31,964.05 = 7,448.66/x
  3. Step 3: Cross multiply
    21,299.66x = 31,964.05 × 7,448.66
  4. Step 4: Simplify right side
    21,299.66x = 238,089,340.67
  5. Step 5: Solve for x
    x = 238,089,340.67/21,299.66
  6. Step 6: Final answer
    x = 11,178.08

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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.