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Finding the Fourth Proportional to 12,347.84, 18,522.16 and 5,422.16

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Solution

The fourth proportional to 12,347.84, 18,522.16 and 5,422.16 is: 8,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.84 : 18,522.16 = 5,422.16 : x
  2. Step 2: Convert to fraction form
    12,347.84/18,522.16 = 5,422.16/x
  3. Step 3: Cross multiply
    12,347.84x = 18,522.16 × 5,422.16
  4. Step 4: Simplify right side
    12,347.84x = 100,430,115.07
  5. Step 5: Solve for x
    x = 100,430,115.07/12,347.84
  6. Step 6: Final answer
    x = 8,133.42

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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.