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Finding the Fourth Proportional to 9,185.78, 12,653.88 and 6,660.47

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Solution

The fourth proportional to 9,185.78, 12,653.88 and 6,660.47 is: 9,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.78 : 12,653.88 = 6,660.47 : x
  2. Step 2: Convert to fraction form
    9,185.78/12,653.88 = 6,660.47/x
  3. Step 3: Cross multiply
    9,185.78x = 12,653.88 × 6,660.47
  4. Step 4: Simplify right side
    9,185.78x = 84,280,788.12
  5. Step 5: Solve for x
    x = 84,280,788.12/9,185.78
  6. Step 6: Final answer
    x = 9,175.14

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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.