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Finding the Fourth Proportional to 8,580.94, 12,870.33 and 3,649.66

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Solution

The fourth proportional to 8,580.94, 12,870.33 and 3,649.66 is: 5,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.94 : 12,870.33 = 3,649.66 : x
  2. Step 2: Convert to fraction form
    8,580.94/12,870.33 = 3,649.66/x
  3. Step 3: Cross multiply
    8,580.94x = 12,870.33 × 3,649.66
  4. Step 4: Simplify right side
    8,580.94x = 46,972,328.59
  5. Step 5: Solve for x
    x = 46,972,328.59/8,580.94
  6. Step 6: Final answer
    x = 5,474.03

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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.