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Finding the Fourth Proportional to 1,860.32, 2,788.12 and 1,811.87

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Solution

The fourth proportional to 1,860.32, 2,788.12 and 1,811.87 is: 2,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.32 : 2,788.12 = 1,811.87 : x
  2. Step 2: Convert to fraction form
    1,860.32/2,788.12 = 1,811.87/x
  3. Step 3: Cross multiply
    1,860.32x = 2,788.12 × 1,811.87
  4. Step 4: Simplify right side
    1,860.32x = 5,051,710.98
  5. Step 5: Solve for x
    x = 5,051,710.98/1,860.32
  6. Step 6: Final answer
    x = 2,715.51

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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.