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Finding the Fourth Proportional to 9,841.68, 13,640.14 and 9,657.36

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Solution

The fourth proportional to 9,841.68, 13,640.14 and 9,657.36 is: 13,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.68 : 13,640.14 = 9,657.36 : x
  2. Step 2: Convert to fraction form
    9,841.68/13,640.14 = 9,657.36/x
  3. Step 3: Cross multiply
    9,841.68x = 13,640.14 × 9,657.36
  4. Step 4: Simplify right side
    9,841.68x = 131,727,742.43
  5. Step 5: Solve for x
    x = 131,727,742.43/9,841.68
  6. Step 6: Final answer
    x = 13,384.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.