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Finding the Fourth Proportional to 21,563.89, 32,348.86 and 9,076.12

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Solution

The fourth proportional to 21,563.89, 32,348.86 and 9,076.12 is: 13,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.89 : 32,348.86 = 9,076.12 : x
  2. Step 2: Convert to fraction form
    21,563.89/32,348.86 = 9,076.12/x
  3. Step 3: Cross multiply
    21,563.89x = 32,348.86 × 9,076.12
  4. Step 4: Simplify right side
    21,563.89x = 293,602,031.66
  5. Step 5: Solve for x
    x = 293,602,031.66/21,563.89
  6. Step 6: Final answer
    x = 13,615.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.