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Finding the Fourth Proportional to 20,362, 30,538.68 and 16,488.40

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Solution

The fourth proportional to 20,362, 30,538.68 and 16,488.40 is: 24,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362 : 30,538.68 = 16,488.40 : x
  2. Step 2: Convert to fraction form
    20,362/30,538.68 = 16,488.40/x
  3. Step 3: Cross multiply
    20,362x = 30,538.68 × 16,488.40
  4. Step 4: Simplify right side
    20,362x = 503,533,971.31
  5. Step 5: Solve for x
    x = 503,533,971.31/20,362
  6. Step 6: Final answer
    x = 24,729.10

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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.