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Finding the Fourth Proportional to 12,885.62, 17,817.95 and 10,228.42

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Solution

The fourth proportional to 12,885.62, 17,817.95 and 10,228.42 is: 14,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.62 : 17,817.95 = 10,228.42 : x
  2. Step 2: Convert to fraction form
    12,885.62/17,817.95 = 10,228.42/x
  3. Step 3: Cross multiply
    12,885.62x = 17,817.95 × 10,228.42
  4. Step 4: Simplify right side
    12,885.62x = 182,249,476.14
  5. Step 5: Solve for x
    x = 182,249,476.14/12,885.62
  6. Step 6: Final answer
    x = 14,143.63

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1.5x scale

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.