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Finding the Fourth Proportional to 1,486.21, 2,050.96 and 856.51

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Solution

The fourth proportional to 1,486.21, 2,050.96 and 856.51 is: 1,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.21 : 2,050.96 = 856.51 : x
  2. Step 2: Convert to fraction form
    1,486.21/2,050.96 = 856.51/x
  3. Step 3: Cross multiply
    1,486.21x = 2,050.96 × 856.51
  4. Step 4: Simplify right side
    1,486.21x = 1,756,660.48
  5. Step 5: Solve for x
    x = 1,756,660.48/1,486.21
  6. Step 6: Final answer
    x = 1,181.98

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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.