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Finding the Fourth Proportional to 3,130.83, 4,695.06 and 938.82

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Solution

The fourth proportional to 3,130.83, 4,695.06 and 938.82 is: 1,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.83 : 4,695.06 = 938.82 : x
  2. Step 2: Convert to fraction form
    3,130.83/4,695.06 = 938.82/x
  3. Step 3: Cross multiply
    3,130.83x = 4,695.06 × 938.82
  4. Step 4: Simplify right side
    3,130.83x = 4,407,816.23
  5. Step 5: Solve for x
    x = 4,407,816.23/3,130.83
  6. Step 6: Final answer
    x = 1,407.87

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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.