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Finding the Fourth Proportional to 11,459.78, 15,815.77 and 6,424.49

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Solution

The fourth proportional to 11,459.78, 15,815.77 and 6,424.49 is: 8,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.78 : 15,815.77 = 6,424.49 : x
  2. Step 2: Convert to fraction form
    11,459.78/15,815.77 = 6,424.49/x
  3. Step 3: Cross multiply
    11,459.78x = 15,815.77 × 6,424.49
  4. Step 4: Simplify right side
    11,459.78x = 101,608,256.21
  5. Step 5: Solve for x
    x = 101,608,256.21/11,459.78
  6. Step 6: Final answer
    x = 8,866.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.