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Finding the Fourth Proportional to 21,390.40, 32,062.92 and 8,237.08

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Solution

The fourth proportional to 21,390.40, 32,062.92 and 8,237.08 is: 12,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.40 : 32,062.92 = 8,237.08 : x
  2. Step 2: Convert to fraction form
    21,390.40/32,062.92 = 8,237.08/x
  3. Step 3: Cross multiply
    21,390.40x = 32,062.92 × 8,237.08
  4. Step 4: Simplify right side
    21,390.40x = 264,104,837.07
  5. Step 5: Solve for x
    x = 264,104,837.07/21,390.40
  6. Step 6: Final answer
    x = 12,346.89

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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.