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Finding the Fourth Proportional to 9,144, 13,718.64 and 5,251.20

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Solution

The fourth proportional to 9,144, 13,718.64 and 5,251.20 is: 7,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 13,718.64 = 5,251.20 : x
  2. Step 2: Convert to fraction form
    9,144/13,718.64 = 5,251.20/x
  3. Step 3: Cross multiply
    9,144x = 13,718.64 × 5,251.20
  4. Step 4: Simplify right side
    9,144x = 72,039,322.37
  5. Step 5: Solve for x
    x = 72,039,322.37/9,144
  6. Step 6: Final answer
    x = 7,878.32

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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.