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Finding the Fourth Proportional to 12,767.66, 17,619.64 and 7,462.70

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Solution

The fourth proportional to 12,767.66, 17,619.64 and 7,462.70 is: 10,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.66 : 17,619.64 = 7,462.70 : x
  2. Step 2: Convert to fraction form
    12,767.66/17,619.64 = 7,462.70/x
  3. Step 3: Cross multiply
    12,767.66x = 17,619.64 × 7,462.70
  4. Step 4: Simplify right side
    12,767.66x = 131,490,087.43
  5. Step 5: Solve for x
    x = 131,490,087.43/12,767.66
  6. Step 6: Final answer
    x = 10,298.68

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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.