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Finding the Fourth Proportional to 11,484, 15,840.36 and 8,291.97

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Solution

The fourth proportional to 11,484, 15,840.36 and 8,291.97 is: 11,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 15,840.36 = 8,291.97 : x
  2. Step 2: Convert to fraction form
    11,484/15,840.36 = 8,291.97/x
  3. Step 3: Cross multiply
    11,484x = 15,840.36 × 8,291.97
  4. Step 4: Simplify right side
    11,484x = 131,347,789.91
  5. Step 5: Solve for x
    x = 131,347,789.91/11,484
  6. Step 6: Final answer
    x = 11,437.46

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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.