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Finding the Fourth Proportional to 5,756.49, 8,634.48 and 1,807.66

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Solution

The fourth proportional to 5,756.49, 8,634.48 and 1,807.66 is: 2,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.49 : 8,634.48 = 1,807.66 : x
  2. Step 2: Convert to fraction form
    5,756.49/8,634.48 = 1,807.66/x
  3. Step 3: Cross multiply
    5,756.49x = 8,634.48 × 1,807.66
  4. Step 4: Simplify right side
    5,756.49x = 15,608,151.91
  5. Step 5: Solve for x
    x = 15,608,151.91/5,756.49
  6. Step 6: Final answer
    x = 2,711.40

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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.