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Finding the Fourth Proportional to 10,737.50, 16,106.11 and 3,341.93

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Solution

The fourth proportional to 10,737.50, 16,106.11 and 3,341.93 is: 5,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.50 : 16,106.11 = 3,341.93 : x
  2. Step 2: Convert to fraction form
    10,737.50/16,106.11 = 3,341.93/x
  3. Step 3: Cross multiply
    10,737.50x = 16,106.11 × 3,341.93
  4. Step 4: Simplify right side
    10,737.50x = 53,825,403.31
  5. Step 5: Solve for x
    x = 53,825,403.31/10,737.50
  6. Step 6: Final answer
    x = 5,012.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.