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Finding the Fourth Proportional to 10,111.76, 13,955.44 and 5,920

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Solution

The fourth proportional to 10,111.76, 13,955.44 and 5,920 is: 8,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.76 : 13,955.44 = 5,920 : x
  2. Step 2: Convert to fraction form
    10,111.76/13,955.44 = 5,920/x
  3. Step 3: Cross multiply
    10,111.76x = 13,955.44 × 5,920
  4. Step 4: Simplify right side
    10,111.76x = 82,616,204.80
  5. Step 5: Solve for x
    x = 82,616,204.80/10,111.76
  6. Step 6: Final answer
    x = 8,170.31

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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.