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Finding the Fourth Proportional to 21,170.54, 31,755.82 and 7,848.11

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Solution

The fourth proportional to 21,170.54, 31,755.82 and 7,848.11 is: 11,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.54 : 31,755.82 = 7,848.11 : x
  2. Step 2: Convert to fraction form
    21,170.54/31,755.82 = 7,848.11/x
  3. Step 3: Cross multiply
    21,170.54x = 31,755.82 × 7,848.11
  4. Step 4: Simplify right side
    21,170.54x = 249,223,228.27
  5. Step 5: Solve for x
    x = 249,223,228.27/21,170.54
  6. Step 6: Final answer
    x = 11,772.17

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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.