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Finding the Fourth Proportional to 1,857.72, 2,565.90 and 1,469.88

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Solution

The fourth proportional to 1,857.72, 2,565.90 and 1,469.88 is: 2,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.72 : 2,565.90 = 1,469.88 : x
  2. Step 2: Convert to fraction form
    1,857.72/2,565.90 = 1,469.88/x
  3. Step 3: Cross multiply
    1,857.72x = 2,565.90 × 1,469.88
  4. Step 4: Simplify right side
    1,857.72x = 3,771,565.09
  5. Step 5: Solve for x
    x = 3,771,565.09/1,857.72
  6. Step 6: Final answer
    x = 2,030.21

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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.