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Finding the Fourth Proportional to 7,699.78, 11,549.94 and 5,101.30

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Solution

The fourth proportional to 7,699.78, 11,549.94 and 5,101.30 is: 7,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.78 : 11,549.94 = 5,101.30 : x
  2. Step 2: Convert to fraction form
    7,699.78/11,549.94 = 5,101.30/x
  3. Step 3: Cross multiply
    7,699.78x = 11,549.94 × 5,101.30
  4. Step 4: Simplify right side
    7,699.78x = 58,919,708.92
  5. Step 5: Solve for x
    x = 58,919,708.92/7,699.78
  6. Step 6: Final answer
    x = 7,652.13

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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.