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Finding the Fourth Proportional to 11,360.64, 15,677.80 and 6,644

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Solution

The fourth proportional to 11,360.64, 15,677.80 and 6,644 is: 9,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.64 : 15,677.80 = 6,644 : x
  2. Step 2: Convert to fraction form
    11,360.64/15,677.80 = 6,644/x
  3. Step 3: Cross multiply
    11,360.64x = 15,677.80 × 6,644
  4. Step 4: Simplify right side
    11,360.64x = 104,163,303.20
  5. Step 5: Solve for x
    x = 104,163,303.20/11,360.64
  6. Step 6: Final answer
    x = 9,168.79

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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.