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Finding the Fourth Proportional to 13,385.84, 20,052.84 and 6,465.20

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Solution

The fourth proportional to 13,385.84, 20,052.84 and 6,465.20 is: 9,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.84 : 20,052.84 = 6,465.20 : x
  2. Step 2: Convert to fraction form
    13,385.84/20,052.84 = 6,465.20/x
  3. Step 3: Cross multiply
    13,385.84x = 20,052.84 × 6,465.20
  4. Step 4: Simplify right side
    13,385.84x = 129,645,621.17
  5. Step 5: Solve for x
    x = 129,645,621.17/13,385.84
  6. Step 6: Final answer
    x = 9,685.28

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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.