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Finding the Fourth Proportional to 14,398.39, 21,597.18 and 7,865.94

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Solution

The fourth proportional to 14,398.39, 21,597.18 and 7,865.94 is: 11,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.39 : 21,597.18 = 7,865.94 : x
  2. Step 2: Convert to fraction form
    14,398.39/21,597.18 = 7,865.94/x
  3. Step 3: Cross multiply
    14,398.39x = 21,597.18 × 7,865.94
  4. Step 4: Simplify right side
    14,398.39x = 169,882,122.05
  5. Step 5: Solve for x
    x = 169,882,122.05/14,398.39
  6. Step 6: Final answer
    x = 11,798.69

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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.