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Finding the Fourth Proportional to 8,646, 11,931.84 and 5,112.24

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Solution

The fourth proportional to 8,646, 11,931.84 and 5,112.24 is: 7,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 11,931.84 = 5,112.24 : x
  2. Step 2: Convert to fraction form
    8,646/11,931.84 = 5,112.24/x
  3. Step 3: Cross multiply
    8,646x = 11,931.84 × 5,112.24
  4. Step 4: Simplify right side
    8,646x = 60,998,429.72
  5. Step 5: Solve for x
    x = 60,998,429.72/8,646
  6. Step 6: Final answer
    x = 7,055.10

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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.