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Finding the Fourth Proportional to 21,053.67, 31,564.31 and 8,402.01

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Solution

The fourth proportional to 21,053.67, 31,564.31 and 8,402.01 is: 12,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.67 : 31,564.31 = 8,402.01 : x
  2. Step 2: Convert to fraction form
    21,053.67/31,564.31 = 8,402.01/x
  3. Step 3: Cross multiply
    21,053.67x = 31,564.31 × 8,402.01
  4. Step 4: Simplify right side
    21,053.67x = 265,203,606.25
  5. Step 5: Solve for x
    x = 265,203,606.25/21,053.67
  6. Step 6: Final answer
    x = 12,596.55

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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.