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Finding the Fourth Proportional to 3,203.50, 4,417.80 and 2,085.30

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Solution

The fourth proportional to 3,203.50, 4,417.80 and 2,085.30 is: 2,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.50 : 4,417.80 = 2,085.30 : x
  2. Step 2: Convert to fraction form
    3,203.50/4,417.80 = 2,085.30/x
  3. Step 3: Cross multiply
    3,203.50x = 4,417.80 × 2,085.30
  4. Step 4: Simplify right side
    3,203.50x = 9,212,438.34
  5. Step 5: Solve for x
    x = 9,212,438.34/3,203.50
  6. Step 6: Final answer
    x = 2,875.74

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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.