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Finding the Fourth Proportional to 7,644, 10,522.80 and 6,857.76

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Solution

The fourth proportional to 7,644, 10,522.80 and 6,857.76 is: 9,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 10,522.80 = 6,857.76 : x
  2. Step 2: Convert to fraction form
    7,644/10,522.80 = 6,857.76/x
  3. Step 3: Cross multiply
    7,644x = 10,522.80 × 6,857.76
  4. Step 4: Simplify right side
    7,644x = 72,162,836.93
  5. Step 5: Solve for x
    x = 72,162,836.93/7,644
  6. Step 6: Final answer
    x = 9,440.45

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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.