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Finding the Fourth Proportional to 12,297.39, 16,977.39 and 8,117.79

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Solution

The fourth proportional to 12,297.39, 16,977.39 and 8,117.79 is: 11,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.39 : 16,977.39 = 8,117.79 : x
  2. Step 2: Convert to fraction form
    12,297.39/16,977.39 = 8,117.79/x
  3. Step 3: Cross multiply
    12,297.39x = 16,977.39 × 8,117.79
  4. Step 4: Simplify right side
    12,297.39x = 137,818,886.77
  5. Step 5: Solve for x
    x = 137,818,886.77/12,297.39
  6. Step 6: Final answer
    x = 11,207.17

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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.