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Finding the Fourth Proportional to 2,059.71, 3,088.98 and 810.09

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Solution

The fourth proportional to 2,059.71, 3,088.98 and 810.09 is: 1,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.71 : 3,088.98 = 810.09 : x
  2. Step 2: Convert to fraction form
    2,059.71/3,088.98 = 810.09/x
  3. Step 3: Cross multiply
    2,059.71x = 3,088.98 × 810.09
  4. Step 4: Simplify right side
    2,059.71x = 2,502,351.81
  5. Step 5: Solve for x
    x = 2,502,351.81/2,059.71
  6. Step 6: Final answer
    x = 1,214.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.