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Finding the Fourth Proportional to 11,881.44, 17,820.72 and 3,117

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Solution

The fourth proportional to 11,881.44, 17,820.72 and 3,117 is: 4,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.44 : 17,820.72 = 3,117 : x
  2. Step 2: Convert to fraction form
    11,881.44/17,820.72 = 3,117/x
  3. Step 3: Cross multiply
    11,881.44x = 17,820.72 × 3,117
  4. Step 4: Simplify right side
    11,881.44x = 55,547,184.24
  5. Step 5: Solve for x
    x = 55,547,184.24/11,881.44
  6. Step 6: Final answer
    x = 4,675.12

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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.