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Finding the Fourth Proportional to 1,962.63, 2,943.59 and 729.77

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Solution

The fourth proportional to 1,962.63, 2,943.59 and 729.77 is: 1,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.63 : 2,943.59 = 729.77 : x
  2. Step 2: Convert to fraction form
    1,962.63/2,943.59 = 729.77/x
  3. Step 3: Cross multiply
    1,962.63x = 2,943.59 × 729.77
  4. Step 4: Simplify right side
    1,962.63x = 2,148,125.31
  5. Step 5: Solve for x
    x = 2,148,125.31/1,962.63
  6. Step 6: Final answer
    x = 1,094.51

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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.