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Finding the Fourth Proportional to 1,486.24, 2,051.17 and 856.79

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Solution

The fourth proportional to 1,486.24, 2,051.17 and 856.79 is: 1,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.24 : 2,051.17 = 856.79 : x
  2. Step 2: Convert to fraction form
    1,486.24/2,051.17 = 856.79/x
  3. Step 3: Cross multiply
    1,486.24x = 2,051.17 × 856.79
  4. Step 4: Simplify right side
    1,486.24x = 1,757,421.94
  5. Step 5: Solve for x
    x = 1,757,421.94/1,486.24
  6. Step 6: Final answer
    x = 1,182.46

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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.