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Finding the Fourth Proportional to 7,666.22, 11,486.56 and 5,815.16

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Solution

The fourth proportional to 7,666.22, 11,486.56 and 5,815.16 is: 8,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.22 : 11,486.56 = 5,815.16 : x
  2. Step 2: Convert to fraction form
    7,666.22/11,486.56 = 5,815.16/x
  3. Step 3: Cross multiply
    7,666.22x = 11,486.56 × 5,815.16
  4. Step 4: Simplify right side
    7,666.22x = 66,796,184.25
  5. Step 5: Solve for x
    x = 66,796,184.25/7,666.22
  6. Step 6: Final answer
    x = 8,713.05

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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.