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Finding the Fourth Proportional to 11,479, 15,840.34 and 6,442.16

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Solution

The fourth proportional to 11,479, 15,840.34 and 6,442.16 is: 8,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479 : 15,840.34 = 6,442.16 : x
  2. Step 2: Convert to fraction form
    11,479/15,840.34 = 6,442.16/x
  3. Step 3: Cross multiply
    11,479x = 15,840.34 × 6,442.16
  4. Step 4: Simplify right side
    11,479x = 102,046,004.73
  5. Step 5: Solve for x
    x = 102,046,004.73/11,479
  6. Step 6: Final answer
    x = 8,889.80

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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.