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Finding the Fourth Proportional to 21,234, 31,840.20 and 7,897.68

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Solution

The fourth proportional to 21,234, 31,840.20 and 7,897.68 is: 11,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 31,840.20 = 7,897.68 : x
  2. Step 2: Convert to fraction form
    21,234/31,840.20 = 7,897.68/x
  3. Step 3: Cross multiply
    21,234x = 31,840.20 × 7,897.68
  4. Step 4: Simplify right side
    21,234x = 251,463,710.74
  5. Step 5: Solve for x
    x = 251,463,710.74/21,234
  6. Step 6: Final answer
    x = 11,842.50

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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.