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Finding the Fourth Proportional to 1,357.84, 1,873.90 and 827.08

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Solution

The fourth proportional to 1,357.84, 1,873.90 and 827.08 is: 1,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.84 : 1,873.90 = 827.08 : x
  2. Step 2: Convert to fraction form
    1,357.84/1,873.90 = 827.08/x
  3. Step 3: Cross multiply
    1,357.84x = 1,873.90 × 827.08
  4. Step 4: Simplify right side
    1,357.84x = 1,549,865.21
  5. Step 5: Solve for x
    x = 1,549,865.21/1,357.84
  6. Step 6: Final answer
    x = 1,141.42

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1.5x scale

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.