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Finding the Fourth Proportional to 2,317.68, 3,478.28 and 857.79

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Solution

The fourth proportional to 2,317.68, 3,478.28 and 857.79 is: 1,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.68 : 3,478.28 = 857.79 : x
  2. Step 2: Convert to fraction form
    2,317.68/3,478.28 = 857.79/x
  3. Step 3: Cross multiply
    2,317.68x = 3,478.28 × 857.79
  4. Step 4: Simplify right side
    2,317.68x = 2,983,629.51
  5. Step 5: Solve for x
    x = 2,983,629.51/2,317.68
  6. Step 6: Final answer
    x = 1,287.33

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1.5x scale

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.