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Finding the Fourth Proportional to 2,381.36, 3,572.28 and 842

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Solution

The fourth proportional to 2,381.36, 3,572.28 and 842 is: 1,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.36 : 3,572.28 = 842 : x
  2. Step 2: Convert to fraction form
    2,381.36/3,572.28 = 842/x
  3. Step 3: Cross multiply
    2,381.36x = 3,572.28 × 842
  4. Step 4: Simplify right side
    2,381.36x = 3,007,859.76
  5. Step 5: Solve for x
    x = 3,007,859.76/2,381.36
  6. Step 6: Final answer
    x = 1,263.08

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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.