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Finding the Fourth Proportional to 13,574.86, 18,724.17 and 7,985.86

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Solution

The fourth proportional to 13,574.86, 18,724.17 and 7,985.86 is: 11,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.86 : 18,724.17 = 7,985.86 : x
  2. Step 2: Convert to fraction form
    13,574.86/18,724.17 = 7,985.86/x
  3. Step 3: Cross multiply
    13,574.86x = 18,724.17 × 7,985.86
  4. Step 4: Simplify right side
    13,574.86x = 149,528,600.24
  5. Step 5: Solve for x
    x = 149,528,600.24/13,574.86
  6. Step 6: Final answer
    x = 11,015.11

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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.