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Finding the Fourth Proportional to 4,602.85, 6,905.63 and 2,139.14

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Solution

The fourth proportional to 4,602.85, 6,905.63 and 2,139.14 is: 3,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.85 : 6,905.63 = 2,139.14 : x
  2. Step 2: Convert to fraction form
    4,602.85/6,905.63 = 2,139.14/x
  3. Step 3: Cross multiply
    4,602.85x = 6,905.63 × 2,139.14
  4. Step 4: Simplify right side
    4,602.85x = 14,772,131.97
  5. Step 5: Solve for x
    x = 14,772,131.97/4,602.85
  6. Step 6: Final answer
    x = 3,209.35

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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.