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Finding the Fourth Proportional to 21,396, 32,097.15 and 7,359.63

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Solution

The fourth proportional to 21,396, 32,097.15 and 7,359.63 is: 11,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,396 : 32,097.15 = 7,359.63 : x
  2. Step 2: Convert to fraction form
    21,396/32,097.15 = 7,359.63/x
  3. Step 3: Cross multiply
    21,396x = 32,097.15 × 7,359.63
  4. Step 4: Simplify right side
    21,396x = 236,223,148.05
  5. Step 5: Solve for x
    x = 236,223,148.05/21,396
  6. Step 6: Final answer
    x = 11,040.53

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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.