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Finding the Fourth Proportional to 9,686.93, 13,375.84 and 7,894.67

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Solution

The fourth proportional to 9,686.93, 13,375.84 and 7,894.67 is: 10,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.93 : 13,375.84 = 7,894.67 : x
  2. Step 2: Convert to fraction form
    9,686.93/13,375.84 = 7,894.67/x
  3. Step 3: Cross multiply
    9,686.93x = 13,375.84 × 7,894.67
  4. Step 4: Simplify right side
    9,686.93x = 105,597,842.77
  5. Step 5: Solve for x
    x = 105,597,842.77/9,686.93
  6. Step 6: Final answer
    x = 10,901.06

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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.