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Finding the Fourth Proportional to 1,869.69, 2,804.52 and 571.14

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Solution

The fourth proportional to 1,869.69, 2,804.52 and 571.14 is: 856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.69 : 2,804.52 = 571.14 : x
  2. Step 2: Convert to fraction form
    1,869.69/2,804.52 = 571.14/x
  3. Step 3: Cross multiply
    1,869.69x = 2,804.52 × 571.14
  4. Step 4: Simplify right side
    1,869.69x = 1,601,773.55
  5. Step 5: Solve for x
    x = 1,601,773.55/1,869.69
  6. Step 6: Final answer
    x = 856.71

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Why These Related Problems?

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