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Finding the Fourth Proportional to 1,857.83, 2,786.73 and 1,509.72

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Solution

The fourth proportional to 1,857.83, 2,786.73 and 1,509.72 is: 2,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.83 : 2,786.73 = 1,509.72 : x
  2. Step 2: Convert to fraction form
    1,857.83/2,786.73 = 1,509.72/x
  3. Step 3: Cross multiply
    1,857.83x = 2,786.73 × 1,509.72
  4. Step 4: Simplify right side
    1,857.83x = 4,207,182.02
  5. Step 5: Solve for x
    x = 4,207,182.02/1,857.83
  6. Step 6: Final answer
    x = 2,264.57

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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.