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Finding the Fourth Proportional to 7,670, 11,498.14 and 2,738.92

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Solution

The fourth proportional to 7,670, 11,498.14 and 2,738.92 is: 4,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 11,498.14 = 2,738.92 : x
  2. Step 2: Convert to fraction form
    7,670/11,498.14 = 2,738.92/x
  3. Step 3: Cross multiply
    7,670x = 11,498.14 × 2,738.92
  4. Step 4: Simplify right side
    7,670x = 31,492,485.61
  5. Step 5: Solve for x
    x = 31,492,485.61/7,670
  6. Step 6: Final answer
    x = 4,105.93

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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.