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Finding the Fourth Proportional to 4,972.51, 7,458.59 and 1,274.78

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Solution

The fourth proportional to 4,972.51, 7,458.59 and 1,274.78 is: 1,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.51 : 7,458.59 = 1,274.78 : x
  2. Step 2: Convert to fraction form
    4,972.51/7,458.59 = 1,274.78/x
  3. Step 3: Cross multiply
    4,972.51x = 7,458.59 × 1,274.78
  4. Step 4: Simplify right side
    4,972.51x = 9,508,027.25
  5. Step 5: Solve for x
    x = 9,508,027.25/4,972.51
  6. Step 6: Final answer
    x = 1,912.12

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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.