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Finding the Fourth Proportional to 11,286, 15,574.68 and 6,318

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Solution

The fourth proportional to 11,286, 15,574.68 and 6,318 is: 8,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 15,574.68 = 6,318 : x
  2. Step 2: Convert to fraction form
    11,286/15,574.68 = 6,318/x
  3. Step 3: Cross multiply
    11,286x = 15,574.68 × 6,318
  4. Step 4: Simplify right side
    11,286x = 98,400,828.24
  5. Step 5: Solve for x
    x = 98,400,828.24/11,286
  6. Step 6: Final answer
    x = 8,718.84

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Why These Related Problems?

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