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Finding the Fourth Proportional to 4,972.39, 7,458.40 and 1,274.65

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Solution

The fourth proportional to 4,972.39, 7,458.40 and 1,274.65 is: 1,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.39 : 7,458.40 = 1,274.65 : x
  2. Step 2: Convert to fraction form
    4,972.39/7,458.40 = 1,274.65/x
  3. Step 3: Cross multiply
    4,972.39x = 7,458.40 × 1,274.65
  4. Step 4: Simplify right side
    4,972.39x = 9,506,849.56
  5. Step 5: Solve for x
    x = 9,506,849.56/4,972.39
  6. Step 6: Final answer
    x = 1,911.93

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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.