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Finding the Fourth Proportional to 7,891.45, 11,816.94 and 7,657.87

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Solution

The fourth proportional to 7,891.45, 11,816.94 and 7,657.87 is: 11,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.45 : 11,816.94 = 7,657.87 : x
  2. Step 2: Convert to fraction form
    7,891.45/11,816.94 = 7,657.87/x
  3. Step 3: Cross multiply
    7,891.45x = 11,816.94 × 7,657.87
  4. Step 4: Simplify right side
    7,891.45x = 90,492,590.32
  5. Step 5: Solve for x
    x = 90,492,590.32/7,891.45
  6. Step 6: Final answer
    x = 11,467.17

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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.