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Finding the Fourth Proportional to 9,145.84, 13,718.76 and 3,677.68

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Solution

The fourth proportional to 9,145.84, 13,718.76 and 3,677.68 is: 5,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.84 : 13,718.76 = 3,677.68 : x
  2. Step 2: Convert to fraction form
    9,145.84/13,718.76 = 3,677.68/x
  3. Step 3: Cross multiply
    9,145.84x = 13,718.76 × 3,677.68
  4. Step 4: Simplify right side
    9,145.84x = 50,453,209.28
  5. Step 5: Solve for x
    x = 50,453,209.28/9,145.84
  6. Step 6: Final answer
    x = 5,516.52

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.