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Finding the Fourth Proportional to 7,854.22, 11,781.32 and 7,460.06

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Solution

The fourth proportional to 7,854.22, 11,781.32 and 7,460.06 is: 11,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.22 : 11,781.32 = 7,460.06 : x
  2. Step 2: Convert to fraction form
    7,854.22/11,781.32 = 7,460.06/x
  3. Step 3: Cross multiply
    7,854.22x = 11,781.32 × 7,460.06
  4. Step 4: Simplify right side
    7,854.22x = 87,889,354.08
  5. Step 5: Solve for x
    x = 87,889,354.08/7,854.22
  6. Step 6: Final answer
    x = 11,190.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.