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Finding the Fourth Proportional to 30,399, 45,561.06 and 21,586.20

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Solution

The fourth proportional to 30,399, 45,561.06 and 21,586.20 is: 32,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399 : 45,561.06 = 21,586.20 : x
  2. Step 2: Convert to fraction form
    30,399/45,561.06 = 21,586.20/x
  3. Step 3: Cross multiply
    30,399x = 45,561.06 × 21,586.20
  4. Step 4: Simplify right side
    30,399x = 983,490,153.37
  5. Step 5: Solve for x
    x = 983,490,153.37/30,399
  6. Step 6: Final answer
    x = 32,352.71

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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.