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Finding the Fourth Proportional to 7,755.12, 11,636.28 and 6,657.12

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Solution

The fourth proportional to 7,755.12, 11,636.28 and 6,657.12 is: 9,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.12 : 11,636.28 = 6,657.12 : x
  2. Step 2: Convert to fraction form
    7,755.12/11,636.28 = 6,657.12/x
  3. Step 3: Cross multiply
    7,755.12x = 11,636.28 × 6,657.12
  4. Step 4: Simplify right side
    7,755.12x = 77,464,112.31
  5. Step 5: Solve for x
    x = 77,464,112.31/7,755.12
  6. Step 6: Final answer
    x = 9,988.77

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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.