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Finding the Fourth Proportional to 3,200.87, 4,417.21 and 1,784.53

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Solution

The fourth proportional to 3,200.87, 4,417.21 and 1,784.53 is: 2,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.87 : 4,417.21 = 1,784.53 : x
  2. Step 2: Convert to fraction form
    3,200.87/4,417.21 = 1,784.53/x
  3. Step 3: Cross multiply
    3,200.87x = 4,417.21 × 1,784.53
  4. Step 4: Simplify right side
    3,200.87x = 7,882,643.76
  5. Step 5: Solve for x
    x = 7,882,643.76/3,200.87
  6. Step 6: Final answer
    x = 2,462.66

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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.