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Finding the Fourth Proportional to 8,087, 12,130.54 and 2,243.19

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Solution

The fourth proportional to 8,087, 12,130.54 and 2,243.19 is: 3,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087 : 12,130.54 = 2,243.19 : x
  2. Step 2: Convert to fraction form
    8,087/12,130.54 = 2,243.19/x
  3. Step 3: Cross multiply
    8,087x = 12,130.54 × 2,243.19
  4. Step 4: Simplify right side
    8,087x = 27,211,106.02
  5. Step 5: Solve for x
    x = 27,211,106.02/8,087
  6. Step 6: Final answer
    x = 3,364.80

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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.