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Finding the Fourth Proportional to 4,972.16, 7,458 and 1,274.48

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Solution

The fourth proportional to 4,972.16, 7,458 and 1,274.48 is: 1,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.16 : 7,458 = 1,274.48 : x
  2. Step 2: Convert to fraction form
    4,972.16/7,458 = 1,274.48/x
  3. Step 3: Cross multiply
    4,972.16x = 7,458 × 1,274.48
  4. Step 4: Simplify right side
    4,972.16x = 9,505,071.84
  5. Step 5: Solve for x
    x = 9,505,071.84/4,972.16
  6. Step 6: Final answer
    x = 1,911.66

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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.