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Finding the Fourth Proportional to 1,605.87, 2,216.01 and 1,037.71

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Solution

The fourth proportional to 1,605.87, 2,216.01 and 1,037.71 is: 1,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.87 : 2,216.01 = 1,037.71 : x
  2. Step 2: Convert to fraction form
    1,605.87/2,216.01 = 1,037.71/x
  3. Step 3: Cross multiply
    1,605.87x = 2,216.01 × 1,037.71
  4. Step 4: Simplify right side
    1,605.87x = 2,299,575.74
  5. Step 5: Solve for x
    x = 2,299,575.74/1,605.87
  6. Step 6: Final answer
    x = 1,431.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.