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Finding the Fourth Proportional to 3,364, 4,642.34 and 1,966.48

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Solution

The fourth proportional to 3,364, 4,642.34 and 1,966.48 is: 2,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364 : 4,642.34 = 1,966.48 : x
  2. Step 2: Convert to fraction form
    3,364/4,642.34 = 1,966.48/x
  3. Step 3: Cross multiply
    3,364x = 4,642.34 × 1,966.48
  4. Step 4: Simplify right side
    3,364x = 9,129,068.76
  5. Step 5: Solve for x
    x = 9,129,068.76/3,364
  6. Step 6: Final answer
    x = 2,713.75

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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.