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Finding the Fourth Proportional to 11,364, 15,677.16 and 6,646.20

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Solution

The fourth proportional to 11,364, 15,677.16 and 6,646.20 is: 9,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364 : 15,677.16 = 6,646.20 : x
  2. Step 2: Convert to fraction form
    11,364/15,677.16 = 6,646.20/x
  3. Step 3: Cross multiply
    11,364x = 15,677.16 × 6,646.20
  4. Step 4: Simplify right side
    11,364x = 104,193,540.79
  5. Step 5: Solve for x
    x = 104,193,540.79/11,364
  6. Step 6: Final answer
    x = 9,168.74

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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.