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Finding the Fourth Proportional to 2,970.92, 4,453.58 and 1,021.74

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Solution

The fourth proportional to 2,970.92, 4,453.58 and 1,021.74 is: 1,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.92 : 4,453.58 = 1,021.74 : x
  2. Step 2: Convert to fraction form
    2,970.92/4,453.58 = 1,021.74/x
  3. Step 3: Cross multiply
    2,970.92x = 4,453.58 × 1,021.74
  4. Step 4: Simplify right side
    2,970.92x = 4,550,400.83
  5. Step 5: Solve for x
    x = 4,550,400.83/2,970.92
  6. Step 6: Final answer
    x = 1,531.65

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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.