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Finding the Fourth Proportional to 1,807.77, 2,709.37 and 1,540.47

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Solution

The fourth proportional to 1,807.77, 2,709.37 and 1,540.47 is: 2,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.77 : 2,709.37 = 1,540.47 : x
  2. Step 2: Convert to fraction form
    1,807.77/2,709.37 = 1,540.47/x
  3. Step 3: Cross multiply
    1,807.77x = 2,709.37 × 1,540.47
  4. Step 4: Simplify right side
    1,807.77x = 4,173,699.35
  5. Step 5: Solve for x
    x = 4,173,699.35/1,807.77
  6. Step 6: Final answer
    x = 2,308.76

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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.