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Finding the Fourth Proportional to 4,949.90, 7,424.84 and 1,663.00

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Solution

The fourth proportional to 4,949.90, 7,424.84 and 1,663.00 is: 2,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.90 : 7,424.84 = 1,663.00 : x
  2. Step 2: Convert to fraction form
    4,949.90/7,424.84 = 1,663.00/x
  3. Step 3: Cross multiply
    4,949.90x = 7,424.84 × 1,663.00
  4. Step 4: Simplify right side
    4,949.90x = 12,347,494.52
  5. Step 5: Solve for x
    x = 12,347,494.52/4,949.90
  6. Step 6: Final answer
    x = 2,494.50

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1.5x scale

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.