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Finding the Fourth Proportional to 9,855.73, 13,584.66 and 6,985.39

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Solution

The fourth proportional to 9,855.73, 13,584.66 and 6,985.39 is: 9,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.73 : 13,584.66 = 6,985.39 : x
  2. Step 2: Convert to fraction form
    9,855.73/13,584.66 = 6,985.39/x
  3. Step 3: Cross multiply
    9,855.73x = 13,584.66 × 6,985.39
  4. Step 4: Simplify right side
    9,855.73x = 94,894,152.72
  5. Step 5: Solve for x
    x = 94,894,152.72/9,855.73
  6. Step 6: Final answer
    x = 9,628.33

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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.