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Finding the Fourth Proportional to 5,145.70, 7,112.73 and 4,737.46

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Solution

The fourth proportional to 5,145.70, 7,112.73 and 4,737.46 is: 6,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.70 : 7,112.73 = 4,737.46 : x
  2. Step 2: Convert to fraction form
    5,145.70/7,112.73 = 4,737.46/x
  3. Step 3: Cross multiply
    5,145.70x = 7,112.73 × 4,737.46
  4. Step 4: Simplify right side
    5,145.70x = 33,696,273.87
  5. Step 5: Solve for x
    x = 33,696,273.87/5,145.70
  6. Step 6: Final answer
    x = 6,548.43

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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.