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Finding the Fourth Proportional to 7,113.62, 10,670.43 and 1,919.72

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Solution

The fourth proportional to 7,113.62, 10,670.43 and 1,919.72 is: 2,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.62 : 10,670.43 = 1,919.72 : x
  2. Step 2: Convert to fraction form
    7,113.62/10,670.43 = 1,919.72/x
  3. Step 3: Cross multiply
    7,113.62x = 10,670.43 × 1,919.72
  4. Step 4: Simplify right side
    7,113.62x = 20,484,237.88
  5. Step 5: Solve for x
    x = 20,484,237.88/7,113.62
  6. Step 6: Final answer
    x = 2,879.58

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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.