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Finding the Fourth Proportional to 12,807.84, 17,678.19 and 8,343.84

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Solution

The fourth proportional to 12,807.84, 17,678.19 and 8,343.84 is: 11,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.84 : 17,678.19 = 8,343.84 : x
  2. Step 2: Convert to fraction form
    12,807.84/17,678.19 = 8,343.84/x
  3. Step 3: Cross multiply
    12,807.84x = 17,678.19 × 8,343.84
  4. Step 4: Simplify right side
    12,807.84x = 147,503,988.85
  5. Step 5: Solve for x
    x = 147,503,988.85/12,807.84
  6. Step 6: Final answer
    x = 11,516.70

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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.