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Finding the Fourth Proportional to 9,121.64, 13,678.20 and 4,737.92

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Solution

The fourth proportional to 9,121.64, 13,678.20 and 4,737.92 is: 7,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.64 : 13,678.20 = 4,737.92 : x
  2. Step 2: Convert to fraction form
    9,121.64/13,678.20 = 4,737.92/x
  3. Step 3: Cross multiply
    9,121.64x = 13,678.20 × 4,737.92
  4. Step 4: Simplify right side
    9,121.64x = 64,806,207.41
  5. Step 5: Solve for x
    x = 64,806,207.41/9,121.64
  6. Step 6: Final answer
    x = 7,104.67

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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.