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Finding the Fourth Proportional to 7,670.77, 11,498.86 and 2,993.78

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Solution

The fourth proportional to 7,670.77, 11,498.86 and 2,993.78 is: 4,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.77 : 11,498.86 = 2,993.78 : x
  2. Step 2: Convert to fraction form
    7,670.77/11,498.86 = 2,993.78/x
  3. Step 3: Cross multiply
    7,670.77x = 11,498.86 × 2,993.78
  4. Step 4: Simplify right side
    7,670.77x = 34,425,024.90
  5. Step 5: Solve for x
    x = 34,425,024.90/7,670.77
  6. Step 6: Final answer
    x = 4,487.82

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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.