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Finding the Fourth Proportional to 12,018.18, 16,584 and 7,769.40

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Solution

The fourth proportional to 12,018.18, 16,584 and 7,769.40 is: 10,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.18 : 16,584 = 7,769.40 : x
  2. Step 2: Convert to fraction form
    12,018.18/16,584 = 7,769.40/x
  3. Step 3: Cross multiply
    12,018.18x = 16,584 × 7,769.40
  4. Step 4: Simplify right side
    12,018.18x = 128,847,729.60
  5. Step 5: Solve for x
    x = 128,847,729.60/12,018.18
  6. Step 6: Final answer
    x = 10,721.07

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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.