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Finding the Fourth Proportional to 13,570.88, 18,731.05 and 7,985.12

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Solution

The fourth proportional to 13,570.88, 18,731.05 and 7,985.12 is: 11,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.88 : 18,731.05 = 7,985.12 : x
  2. Step 2: Convert to fraction form
    13,570.88/18,731.05 = 7,985.12/x
  3. Step 3: Cross multiply
    13,570.88x = 18,731.05 × 7,985.12
  4. Step 4: Simplify right side
    13,570.88x = 149,569,568.36
  5. Step 5: Solve for x
    x = 149,569,568.36/13,570.88
  6. Step 6: Final answer
    x = 11,021.37

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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.