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Finding the Fourth Proportional to 21,321.64, 31,985.84 and 7,090.62

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Solution

The fourth proportional to 21,321.64, 31,985.84 and 7,090.62 is: 10,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.64 : 31,985.84 = 7,090.62 : x
  2. Step 2: Convert to fraction form
    21,321.64/31,985.84 = 7,090.62/x
  3. Step 3: Cross multiply
    21,321.64x = 31,985.84 × 7,090.62
  4. Step 4: Simplify right side
    21,321.64x = 226,799,436.82
  5. Step 5: Solve for x
    x = 226,799,436.82/21,321.64
  6. Step 6: Final answer
    x = 10,637.05

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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.