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Finding the Fourth Proportional to 5,643.71, 8,461.97 and 3,009.59

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Solution

The fourth proportional to 5,643.71, 8,461.97 and 3,009.59 is: 4,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.71 : 8,461.97 = 3,009.59 : x
  2. Step 2: Convert to fraction form
    5,643.71/8,461.97 = 3,009.59/x
  3. Step 3: Cross multiply
    5,643.71x = 8,461.97 × 3,009.59
  4. Step 4: Simplify right side
    5,643.71x = 25,467,045.95
  5. Step 5: Solve for x
    x = 25,467,045.95/5,643.71
  6. Step 6: Final answer
    x = 4,512.47

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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.