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Finding the Fourth Proportional to 21,487.65, 32,218.21 and 7,444.41

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Solution

The fourth proportional to 21,487.65, 32,218.21 and 7,444.41 is: 11,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,487.65 : 32,218.21 = 7,444.41 : x
  2. Step 2: Convert to fraction form
    21,487.65/32,218.21 = 7,444.41/x
  3. Step 3: Cross multiply
    21,487.65x = 32,218.21 × 7,444.41
  4. Step 4: Simplify right side
    21,487.65x = 239,845,564.71
  5. Step 5: Solve for x
    x = 239,845,564.71/21,487.65
  6. Step 6: Final answer
    x = 11,162.02

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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.