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Finding the Fourth Proportional to 3,046, 4,203.51 and 1,648.78

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Solution

The fourth proportional to 3,046, 4,203.51 and 1,648.78 is: 2,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,203.51 = 1,648.78 : x
  2. Step 2: Convert to fraction form
    3,046/4,203.51 = 1,648.78/x
  3. Step 3: Cross multiply
    3,046x = 4,203.51 × 1,648.78
  4. Step 4: Simplify right side
    3,046x = 6,930,663.22
  5. Step 5: Solve for x
    x = 6,930,663.22/3,046
  6. Step 6: Final answer
    x = 2,275.33

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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.