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Finding the Fourth Proportional to 4,813.04, 6,642 and 2,717.20

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Solution

The fourth proportional to 4,813.04, 6,642 and 2,717.20 is: 3,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.04 : 6,642 = 2,717.20 : x
  2. Step 2: Convert to fraction form
    4,813.04/6,642 = 2,717.20/x
  3. Step 3: Cross multiply
    4,813.04x = 6,642 × 2,717.20
  4. Step 4: Simplify right side
    4,813.04x = 18,047,642.40
  5. Step 5: Solve for x
    x = 18,047,642.40/4,813.04
  6. Step 6: Final answer
    x = 3,749.74

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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.