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Finding the Fourth Proportional to 30,677.99, 45,989.30 and 21,322.41

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Solution

The fourth proportional to 30,677.99, 45,989.30 and 21,322.41 is: 31,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.99 : 45,989.30 = 21,322.41 : x
  2. Step 2: Convert to fraction form
    30,677.99/45,989.30 = 21,322.41/x
  3. Step 3: Cross multiply
    30,677.99x = 45,989.30 × 21,322.41
  4. Step 4: Simplify right side
    30,677.99x = 980,602,643.58
  5. Step 5: Solve for x
    x = 980,602,643.58/30,677.99
  6. Step 6: Final answer
    x = 31,964.37

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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.