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Finding the Fourth Proportional to 4,642.20, 6,404.06 and 3,051.50

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Solution

The fourth proportional to 4,642.20, 6,404.06 and 3,051.50 is: 4,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.20 : 6,404.06 = 3,051.50 : x
  2. Step 2: Convert to fraction form
    4,642.20/6,404.06 = 3,051.50/x
  3. Step 3: Cross multiply
    4,642.20x = 6,404.06 × 3,051.50
  4. Step 4: Simplify right side
    4,642.20x = 19,541,964.70
  5. Step 5: Solve for x
    x = 19,541,964.70/4,642.20
  6. Step 6: Final answer
    x = 4,209.63

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