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Finding the Fourth Proportional to 10,159.86, 13,989.46 and 8,893.83

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Solution

The fourth proportional to 10,159.86, 13,989.46 and 8,893.83 is: 12,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.86 : 13,989.46 = 8,893.83 : x
  2. Step 2: Convert to fraction form
    10,159.86/13,989.46 = 8,893.83/x
  3. Step 3: Cross multiply
    10,159.86x = 13,989.46 × 8,893.83
  4. Step 4: Simplify right side
    10,159.86x = 124,419,925.93
  5. Step 5: Solve for x
    x = 124,419,925.93/10,159.86
  6. Step 6: Final answer
    x = 12,246.22

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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.