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Finding the Fourth Proportional to 12,154.70, 16,767.08 and 8,371.31

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Solution

The fourth proportional to 12,154.70, 16,767.08 and 8,371.31 is: 11,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.70 : 16,767.08 = 8,371.31 : x
  2. Step 2: Convert to fraction form
    12,154.70/16,767.08 = 8,371.31/x
  3. Step 3: Cross multiply
    12,154.70x = 16,767.08 × 8,371.31
  4. Step 4: Simplify right side
    12,154.70x = 140,362,424.47
  5. Step 5: Solve for x
    x = 140,362,424.47/12,154.70
  6. Step 6: Final answer
    x = 11,548.00

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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.