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Finding the Fourth Proportional to 1,392.76, 1,921.62 and 869.32

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Solution

The fourth proportional to 1,392.76, 1,921.62 and 869.32 is: 1,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.76 : 1,921.62 = 869.32 : x
  2. Step 2: Convert to fraction form
    1,392.76/1,921.62 = 869.32/x
  3. Step 3: Cross multiply
    1,392.76x = 1,921.62 × 869.32
  4. Step 4: Simplify right side
    1,392.76x = 1,670,502.70
  5. Step 5: Solve for x
    x = 1,670,502.70/1,392.76
  6. Step 6: Final answer
    x = 1,199.42

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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.