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Finding the Fourth Proportional to 13,302.30, 19,929.15 and 10,823.70

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Solution

The fourth proportional to 13,302.30, 19,929.15 and 10,823.70 is: 16,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.30 : 19,929.15 = 10,823.70 : x
  2. Step 2: Convert to fraction form
    13,302.30/19,929.15 = 10,823.70/x
  3. Step 3: Cross multiply
    13,302.30x = 19,929.15 × 10,823.70
  4. Step 4: Simplify right side
    13,302.30x = 215,707,140.86
  5. Step 5: Solve for x
    x = 215,707,140.86/13,302.30
  6. Step 6: Final answer
    x = 16,215.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.