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Finding the Fourth Proportional to 10,286, 15,429 and 2,494.81

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Solution

The fourth proportional to 10,286, 15,429 and 2,494.81 is: 3,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286 : 15,429 = 2,494.81 : x
  2. Step 2: Convert to fraction form
    10,286/15,429 = 2,494.81/x
  3. Step 3: Cross multiply
    10,286x = 15,429 × 2,494.81
  4. Step 4: Simplify right side
    10,286x = 38,492,423.49
  5. Step 5: Solve for x
    x = 38,492,423.49/10,286
  6. Step 6: Final answer
    x = 3,742.22

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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.