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Finding the Fourth Proportional to 28,418.50, 42,628.56 and 7,642

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Solution

The fourth proportional to 28,418.50, 42,628.56 and 7,642 is: 11,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,418.50 : 42,628.56 = 7,642 : x
  2. Step 2: Convert to fraction form
    28,418.50/42,628.56 = 7,642/x
  3. Step 3: Cross multiply
    28,418.50x = 42,628.56 × 7,642
  4. Step 4: Simplify right side
    28,418.50x = 325,767,455.52
  5. Step 5: Solve for x
    x = 325,767,455.52/28,418.50
  6. Step 6: Final answer
    x = 11,463.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.