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Finding the Fourth Proportional to 15,102.88, 20,842.56 and 8,389.02

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Solution

The fourth proportional to 15,102.88, 20,842.56 and 8,389.02 is: 11,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.88 : 20,842.56 = 8,389.02 : x
  2. Step 2: Convert to fraction form
    15,102.88/20,842.56 = 8,389.02/x
  3. Step 3: Cross multiply
    15,102.88x = 20,842.56 × 8,389.02
  4. Step 4: Simplify right side
    15,102.88x = 174,848,652.69
  5. Step 5: Solve for x
    x = 174,848,652.69/15,102.88
  6. Step 6: Final answer
    x = 11,577.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.