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Finding the Fourth Proportional to 11,679.69, 16,117.76 and 6,374.49

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Solution

The fourth proportional to 11,679.69, 16,117.76 and 6,374.49 is: 8,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.69 : 16,117.76 = 6,374.49 : x
  2. Step 2: Convert to fraction form
    11,679.69/16,117.76 = 6,374.49/x
  3. Step 3: Cross multiply
    11,679.69x = 16,117.76 × 6,374.49
  4. Step 4: Simplify right side
    11,679.69x = 102,742,468.07
  5. Step 5: Solve for x
    x = 102,742,468.07/11,679.69
  6. Step 6: Final answer
    x = 8,796.68

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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.