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Finding the Fourth Proportional to 9,078.28, 13,620.78 and 4,693

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Solution

The fourth proportional to 9,078.28, 13,620.78 and 4,693 is: 7,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.28 : 13,620.78 = 4,693 : x
  2. Step 2: Convert to fraction form
    9,078.28/13,620.78 = 4,693/x
  3. Step 3: Cross multiply
    9,078.28x = 13,620.78 × 4,693
  4. Step 4: Simplify right side
    9,078.28x = 63,922,320.54
  5. Step 5: Solve for x
    x = 63,922,320.54/9,078.28
  6. Step 6: Final answer
    x = 7,041.24

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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.