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Finding the Fourth Proportional to 8,946, 12,338.46 and 6,427.44

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Solution

The fourth proportional to 8,946, 12,338.46 and 6,427.44 is: 8,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 12,338.46 = 6,427.44 : x
  2. Step 2: Convert to fraction form
    8,946/12,338.46 = 6,427.44/x
  3. Step 3: Cross multiply
    8,946x = 12,338.46 × 6,427.44
  4. Step 4: Simplify right side
    8,946x = 79,304,711.34
  5. Step 5: Solve for x
    x = 79,304,711.34/8,946
  6. Step 6: Final answer
    x = 8,864.82

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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.