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Finding the Fourth Proportional to 21,964, 32,978.81 and 21,635.95

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Solution

The fourth proportional to 21,964, 32,978.81 and 21,635.95 is: 32,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964 : 32,978.81 = 21,635.95 : x
  2. Step 2: Convert to fraction form
    21,964/32,978.81 = 21,635.95/x
  3. Step 3: Cross multiply
    21,964x = 32,978.81 × 21,635.95
  4. Step 4: Simplify right side
    21,964x = 713,527,884.22
  5. Step 5: Solve for x
    x = 713,527,884.22/21,964
  6. Step 6: Final answer
    x = 32,486.24

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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.