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Finding the Fourth Proportional to 21,782.73, 32,666.94 and 6,988.14

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Solution

The fourth proportional to 21,782.73, 32,666.94 and 6,988.14 is: 10,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.73 : 32,666.94 = 6,988.14 : x
  2. Step 2: Convert to fraction form
    21,782.73/32,666.94 = 6,988.14/x
  3. Step 3: Cross multiply
    21,782.73x = 32,666.94 × 6,988.14
  4. Step 4: Simplify right side
    21,782.73x = 228,281,150.09
  5. Step 5: Solve for x
    x = 228,281,150.09/21,782.73
  6. Step 6: Final answer
    x = 10,479.91

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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.