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Finding the Fourth Proportional to 2,970.78, 4,458.66 and 2,451.78

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Solution

The fourth proportional to 2,970.78, 4,458.66 and 2,451.78 is: 3,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.78 : 4,458.66 = 2,451.78 : x
  2. Step 2: Convert to fraction form
    2,970.78/4,458.66 = 2,451.78/x
  3. Step 3: Cross multiply
    2,970.78x = 4,458.66 × 2,451.78
  4. Step 4: Simplify right side
    2,970.78x = 10,931,653.41
  5. Step 5: Solve for x
    x = 10,931,653.41/2,970.78
  6. Step 6: Final answer
    x = 3,679.72

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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.