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Finding the Fourth Proportional to 21,115, 31,677.90 and 7,264.36

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Solution

The fourth proportional to 21,115, 31,677.90 and 7,264.36 is: 10,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115 : 31,677.90 = 7,264.36 : x
  2. Step 2: Convert to fraction form
    21,115/31,677.90 = 7,264.36/x
  3. Step 3: Cross multiply
    21,115x = 31,677.90 × 7,264.36
  4. Step 4: Simplify right side
    21,115x = 230,119,669.64
  5. Step 5: Solve for x
    x = 230,119,669.64/21,115
  6. Step 6: Final answer
    x = 10,898.40

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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.