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Finding the Fourth Proportional to 11,661.12, 17,488 and 4,638.08

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Solution

The fourth proportional to 11,661.12, 17,488 and 4,638.08 is: 6,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.12 : 17,488 = 4,638.08 : x
  2. Step 2: Convert to fraction form
    11,661.12/17,488 = 4,638.08/x
  3. Step 3: Cross multiply
    11,661.12x = 17,488 × 4,638.08
  4. Step 4: Simplify right side
    11,661.12x = 81,110,743.04
  5. Step 5: Solve for x
    x = 81,110,743.04/11,661.12
  6. Step 6: Final answer
    x = 6,955.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.