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Finding the Fourth Proportional to 1,512.34, 2,267.82 and 782.42

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Solution

The fourth proportional to 1,512.34, 2,267.82 and 782.42 is: 1,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.34 : 2,267.82 = 782.42 : x
  2. Step 2: Convert to fraction form
    1,512.34/2,267.82 = 782.42/x
  3. Step 3: Cross multiply
    1,512.34x = 2,267.82 × 782.42
  4. Step 4: Simplify right side
    1,512.34x = 1,774,389.48
  5. Step 5: Solve for x
    x = 1,774,389.48/1,512.34
  6. Step 6: Final answer
    x = 1,173.28

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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.