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Finding the Fourth Proportional to 4,354.90, 6,005.28 and 3,409

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Solution

The fourth proportional to 4,354.90, 6,005.28 and 3,409 is: 4,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.90 : 6,005.28 = 3,409 : x
  2. Step 2: Convert to fraction form
    4,354.90/6,005.28 = 3,409/x
  3. Step 3: Cross multiply
    4,354.90x = 6,005.28 × 3,409
  4. Step 4: Simplify right side
    4,354.90x = 20,471,999.52
  5. Step 5: Solve for x
    x = 20,471,999.52/4,354.90
  6. Step 6: Final answer
    x = 4,700.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.