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Finding the Fourth Proportional to 7,852.67, 11,777.79 and 5,098.87

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Solution

The fourth proportional to 7,852.67, 11,777.79 and 5,098.87 is: 7,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.67 : 11,777.79 = 5,098.87 : x
  2. Step 2: Convert to fraction form
    7,852.67/11,777.79 = 5,098.87/x
  3. Step 3: Cross multiply
    7,852.67x = 11,777.79 × 5,098.87
  4. Step 4: Simplify right side
    7,852.67x = 60,053,420.10
  5. Step 5: Solve for x
    x = 60,053,420.10/7,852.67
  6. Step 6: Final answer
    x = 7,647.52

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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.