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Finding the Fourth Proportional to 3,146, 4,720.20 and 1,502.48

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Solution

The fourth proportional to 3,146, 4,720.20 and 1,502.48 is: 2,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 4,720.20 = 1,502.48 : x
  2. Step 2: Convert to fraction form
    3,146/4,720.20 = 1,502.48/x
  3. Step 3: Cross multiply
    3,146x = 4,720.20 × 1,502.48
  4. Step 4: Simplify right side
    3,146x = 7,092,006.10
  5. Step 5: Solve for x
    x = 7,092,006.10/3,146
  6. Step 6: Final answer
    x = 2,254.29

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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.