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Finding the Fourth Proportional to 2,971.94, 4,454.91 and 2,148.20

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Solution

The fourth proportional to 2,971.94, 4,454.91 and 2,148.20 is: 3,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.94 : 4,454.91 = 2,148.20 : x
  2. Step 2: Convert to fraction form
    2,971.94/4,454.91 = 2,148.20/x
  3. Step 3: Cross multiply
    2,971.94x = 4,454.91 × 2,148.20
  4. Step 4: Simplify right side
    2,971.94x = 9,570,037.66
  5. Step 5: Solve for x
    x = 9,570,037.66/2,971.94
  6. Step 6: Final answer
    x = 3,220.13

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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.