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Finding the Fourth Proportional to 15,209.40, 22,813.84 and 4,821.16

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Solution

The fourth proportional to 15,209.40, 22,813.84 and 4,821.16 is: 7,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.40 : 22,813.84 = 4,821.16 : x
  2. Step 2: Convert to fraction form
    15,209.40/22,813.84 = 4,821.16/x
  3. Step 3: Cross multiply
    15,209.40x = 22,813.84 × 4,821.16
  4. Step 4: Simplify right side
    15,209.40x = 109,989,172.85
  5. Step 5: Solve for x
    x = 109,989,172.85/15,209.40
  6. Step 6: Final answer
    x = 7,231.66

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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.