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Finding the Fourth Proportional to 12,181.74, 16,807.95 and 7,145.70

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Solution

The fourth proportional to 12,181.74, 16,807.95 and 7,145.70 is: 9,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.74 : 16,807.95 = 7,145.70 : x
  2. Step 2: Convert to fraction form
    12,181.74/16,807.95 = 7,145.70/x
  3. Step 3: Cross multiply
    12,181.74x = 16,807.95 × 7,145.70
  4. Step 4: Simplify right side
    12,181.74x = 120,104,568.32
  5. Step 5: Solve for x
    x = 120,104,568.32/12,181.74
  6. Step 6: Final answer
    x = 9,859.39

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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.