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Finding the Fourth Proportional to 9,947.13, 14,920.71 and 4,737.21

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Solution

The fourth proportional to 9,947.13, 14,920.71 and 4,737.21 is: 7,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.13 : 14,920.71 = 4,737.21 : x
  2. Step 2: Convert to fraction form
    9,947.13/14,920.71 = 4,737.21/x
  3. Step 3: Cross multiply
    9,947.13x = 14,920.71 × 4,737.21
  4. Step 4: Simplify right side
    9,947.13x = 70,682,536.62
  5. Step 5: Solve for x
    x = 70,682,536.62/9,947.13
  6. Step 6: Final answer
    x = 7,105.82

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1.5x scale

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.