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Finding the Fourth Proportional to 7,841.67, 11,762.51 and 2,647.55

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Solution

The fourth proportional to 7,841.67, 11,762.51 and 2,647.55 is: 3,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.67 : 11,762.51 = 2,647.55 : x
  2. Step 2: Convert to fraction form
    7,841.67/11,762.51 = 2,647.55/x
  3. Step 3: Cross multiply
    7,841.67x = 11,762.51 × 2,647.55
  4. Step 4: Simplify right side
    7,841.67x = 31,141,761.30
  5. Step 5: Solve for x
    x = 31,141,761.30/7,841.67
  6. Step 6: Final answer
    x = 3,971.32

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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.