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Finding the Fourth Proportional to 15,078.84, 20,809.62 and 9,778.20

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Solution

The fourth proportional to 15,078.84, 20,809.62 and 9,778.20 is: 13,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.84 : 20,809.62 = 9,778.20 : x
  2. Step 2: Convert to fraction form
    15,078.84/20,809.62 = 9,778.20/x
  3. Step 3: Cross multiply
    15,078.84x = 20,809.62 × 9,778.20
  4. Step 4: Simplify right side
    15,078.84x = 203,480,626.28
  5. Step 5: Solve for x
    x = 203,480,626.28/15,078.84
  6. Step 6: Final answer
    x = 13,494.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.