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Finding the Fourth Proportional to 1,602.50, 2,209.66 and 1,314.17

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Solution

The fourth proportional to 1,602.50, 2,209.66 and 1,314.17 is: 1,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.50 : 2,209.66 = 1,314.17 : x
  2. Step 2: Convert to fraction form
    1,602.50/2,209.66 = 1,314.17/x
  3. Step 3: Cross multiply
    1,602.50x = 2,209.66 × 1,314.17
  4. Step 4: Simplify right side
    1,602.50x = 2,903,871.12
  5. Step 5: Solve for x
    x = 2,903,871.12/1,602.50
  6. Step 6: Final answer
    x = 1,812.09

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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.