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Finding the Fourth Proportional to 3,747.93, 5,622.67 and 1,407.93

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Solution

The fourth proportional to 3,747.93, 5,622.67 and 1,407.93 is: 2,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.93 : 5,622.67 = 1,407.93 : x
  2. Step 2: Convert to fraction form
    3,747.93/5,622.67 = 1,407.93/x
  3. Step 3: Cross multiply
    3,747.93x = 5,622.67 × 1,407.93
  4. Step 4: Simplify right side
    3,747.93x = 7,916,330.16
  5. Step 5: Solve for x
    x = 7,916,330.16/3,747.93
  6. Step 6: Final answer
    x = 2,112.19

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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.