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Finding the Fourth Proportional to 13,653.18, 20,463.79 and 5,214.16

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Solution

The fourth proportional to 13,653.18, 20,463.79 and 5,214.16 is: 7,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.18 : 20,463.79 = 5,214.16 : x
  2. Step 2: Convert to fraction form
    13,653.18/20,463.79 = 5,214.16/x
  3. Step 3: Cross multiply
    13,653.18x = 20,463.79 × 5,214.16
  4. Step 4: Simplify right side
    13,653.18x = 106,701,382.48
  5. Step 5: Solve for x
    x = 106,701,382.48/13,653.18
  6. Step 6: Final answer
    x = 7,815.13

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1.5x scale

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.