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Finding the Fourth Proportional to 13,159.77, 18,160.92 and 7,853.87

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Solution

The fourth proportional to 13,159.77, 18,160.92 and 7,853.87 is: 10,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.77 : 18,160.92 = 7,853.87 : x
  2. Step 2: Convert to fraction form
    13,159.77/18,160.92 = 7,853.87/x
  3. Step 3: Cross multiply
    13,159.77x = 18,160.92 × 7,853.87
  4. Step 4: Simplify right side
    13,159.77x = 142,633,413.96
  5. Step 5: Solve for x
    x = 142,633,413.96/13,159.77
  6. Step 6: Final answer
    x = 10,838.59

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1.5x scale

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.