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Finding the Fourth Proportional to 28,617.52, 42,928.70 and 7,841

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Solution

The fourth proportional to 28,617.52, 42,928.70 and 7,841 is: 11,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,617.52 : 42,928.70 = 7,841 : x
  2. Step 2: Convert to fraction form
    28,617.52/42,928.70 = 7,841/x
  3. Step 3: Cross multiply
    28,617.52x = 42,928.70 × 7,841
  4. Step 4: Simplify right side
    28,617.52x = 336,603,936.70
  5. Step 5: Solve for x
    x = 336,603,936.70/28,617.52
  6. Step 6: Final answer
    x = 11,762.16

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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.