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Finding the Fourth Proportional to 8,384.64, 11,585.40 and 6,891.42

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Solution

The fourth proportional to 8,384.64, 11,585.40 and 6,891.42 is: 9,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.64 : 11,585.40 = 6,891.42 : x
  2. Step 2: Convert to fraction form
    8,384.64/11,585.40 = 6,891.42/x
  3. Step 3: Cross multiply
    8,384.64x = 11,585.40 × 6,891.42
  4. Step 4: Simplify right side
    8,384.64x = 79,839,857.27
  5. Step 5: Solve for x
    x = 79,839,857.27/8,384.64
  6. Step 6: Final answer
    x = 9,522.16

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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.