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Finding the Fourth Proportional to 3,364.03, 4,642.40 and 1,966.78

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Solution

The fourth proportional to 3,364.03, 4,642.40 and 1,966.78 is: 2,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.03 : 4,642.40 = 1,966.78 : x
  2. Step 2: Convert to fraction form
    3,364.03/4,642.40 = 1,966.78/x
  3. Step 3: Cross multiply
    3,364.03x = 4,642.40 × 1,966.78
  4. Step 4: Simplify right side
    3,364.03x = 9,130,579.47
  5. Step 5: Solve for x
    x = 9,130,579.47/3,364.03
  6. Step 6: Final answer
    x = 2,714.18

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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.