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Finding the Fourth Proportional to 3,364, 4,642.76 and 2,038.20

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Solution

The fourth proportional to 3,364, 4,642.76 and 2,038.20 is: 2,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364 : 4,642.76 = 2,038.20 : x
  2. Step 2: Convert to fraction form
    3,364/4,642.76 = 2,038.20/x
  3. Step 3: Cross multiply
    3,364x = 4,642.76 × 2,038.20
  4. Step 4: Simplify right side
    3,364x = 9,462,873.43
  5. Step 5: Solve for x
    x = 9,462,873.43/3,364
  6. Step 6: Final answer
    x = 2,812.98

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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.