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Finding the Fourth Proportional to 1,527.05, 2,107.04 and 854.80

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Solution

The fourth proportional to 1,527.05, 2,107.04 and 854.80 is: 1,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.05 : 2,107.04 = 854.80 : x
  2. Step 2: Convert to fraction form
    1,527.05/2,107.04 = 854.80/x
  3. Step 3: Cross multiply
    1,527.05x = 2,107.04 × 854.80
  4. Step 4: Simplify right side
    1,527.05x = 1,801,088.25
  5. Step 5: Solve for x
    x = 1,801,088.25/1,527.05
  6. Step 6: Final answer
    x = 1,179.45

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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.