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Finding the Fourth Proportional to 7,041.68, 9,721.32 and 5,642

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Solution

The fourth proportional to 7,041.68, 9,721.32 and 5,642 is: 7,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.68 : 9,721.32 = 5,642 : x
  2. Step 2: Convert to fraction form
    7,041.68/9,721.32 = 5,642/x
  3. Step 3: Cross multiply
    7,041.68x = 9,721.32 × 5,642
  4. Step 4: Simplify right side
    7,041.68x = 54,847,687.44
  5. Step 5: Solve for x
    x = 54,847,687.44/7,041.68
  6. Step 6: Final answer
    x = 7,789.01

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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.