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Finding the Fourth Proportional to 2,357.92, 3,534.96 and 818.08

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Solution

The fourth proportional to 2,357.92, 3,534.96 and 818.08 is: 1,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.92 : 3,534.96 = 818.08 : x
  2. Step 2: Convert to fraction form
    2,357.92/3,534.96 = 818.08/x
  3. Step 3: Cross multiply
    2,357.92x = 3,534.96 × 818.08
  4. Step 4: Simplify right side
    2,357.92x = 2,891,880.08
  5. Step 5: Solve for x
    x = 2,891,880.08/2,357.92
  6. Step 6: Final answer
    x = 1,226.45

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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.