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Finding the Fourth Proportional to 11,737.40, 16,197.77 and 7,020.77

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Solution

The fourth proportional to 11,737.40, 16,197.77 and 7,020.77 is: 9,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.40 : 16,197.77 = 7,020.77 : x
  2. Step 2: Convert to fraction form
    11,737.40/16,197.77 = 7,020.77/x
  3. Step 3: Cross multiply
    11,737.40x = 16,197.77 × 7,020.77
  4. Step 4: Simplify right side
    11,737.40x = 113,720,754.25
  5. Step 5: Solve for x
    x = 113,720,754.25/11,737.40
  6. Step 6: Final answer
    x = 9,688.76

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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.