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Finding the Fourth Proportional to 8,970.69, 13,454.19 and 3,422.79

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Solution

The fourth proportional to 8,970.69, 13,454.19 and 3,422.79 is: 5,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.69 : 13,454.19 = 3,422.79 : x
  2. Step 2: Convert to fraction form
    8,970.69/13,454.19 = 3,422.79/x
  3. Step 3: Cross multiply
    8,970.69x = 13,454.19 × 3,422.79
  4. Step 4: Simplify right side
    8,970.69x = 46,050,866.99
  5. Step 5: Solve for x
    x = 46,050,866.99/8,970.69
  6. Step 6: Final answer
    x = 5,133.48

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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.