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Finding the Fourth Proportional to 7,121.70, 10,698.93 and 4,202.04

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Solution

The fourth proportional to 7,121.70, 10,698.93 and 4,202.04 is: 6,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.70 : 10,698.93 = 4,202.04 : x
  2. Step 2: Convert to fraction form
    7,121.70/10,698.93 = 4,202.04/x
  3. Step 3: Cross multiply
    7,121.70x = 10,698.93 × 4,202.04
  4. Step 4: Simplify right side
    7,121.70x = 44,957,331.82
  5. Step 5: Solve for x
    x = 44,957,331.82/7,121.70
  6. Step 6: Final answer
    x = 6,312.72

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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.