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Finding the Fourth Proportional to 3,012.10, 4,493.51 and 3,012.10

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Solution

The fourth proportional to 3,012.10, 4,493.51 and 3,012.10 is: 4,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.10 : 4,493.51 = 3,012.10 : x
  2. Step 2: Convert to fraction form
    3,012.10/4,493.51 = 3,012.10/x
  3. Step 3: Cross multiply
    3,012.10x = 4,493.51 × 3,012.10
  4. Step 4: Simplify right side
    3,012.10x = 13,534,901.47
  5. Step 5: Solve for x
    x = 13,534,901.47/3,012.10
  6. Step 6: Final answer
    x = 4,493.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.