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Finding the Fourth Proportional to 2,782.54, 4,178.04 and 1,748.98

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Solution

The fourth proportional to 2,782.54, 4,178.04 and 1,748.98 is: 2,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.54 : 4,178.04 = 1,748.98 : x
  2. Step 2: Convert to fraction form
    2,782.54/4,178.04 = 1,748.98/x
  3. Step 3: Cross multiply
    2,782.54x = 4,178.04 × 1,748.98
  4. Step 4: Simplify right side
    2,782.54x = 7,307,308.40
  5. Step 5: Solve for x
    x = 7,307,308.40/2,782.54
  6. Step 6: Final answer
    x = 2,626.13

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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.