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Finding the Fourth Proportional to 8,143.02, 12,235.03 and 5,182.82

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Solution

The fourth proportional to 8,143.02, 12,235.03 and 5,182.82 is: 7,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.02 : 12,235.03 = 5,182.82 : x
  2. Step 2: Convert to fraction form
    8,143.02/12,235.03 = 5,182.82/x
  3. Step 3: Cross multiply
    8,143.02x = 12,235.03 × 5,182.82
  4. Step 4: Simplify right side
    8,143.02x = 63,411,958.18
  5. Step 5: Solve for x
    x = 63,411,958.18/8,143.02
  6. Step 6: Final answer
    x = 7,787.28

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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.