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Finding the Fourth Proportional to 2,971.54, 4,462.41 and 2,638.74

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Solution

The fourth proportional to 2,971.54, 4,462.41 and 2,638.74 is: 3,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.54 : 4,462.41 = 2,638.74 : x
  2. Step 2: Convert to fraction form
    2,971.54/4,462.41 = 2,638.74/x
  3. Step 3: Cross multiply
    2,971.54x = 4,462.41 × 2,638.74
  4. Step 4: Simplify right side
    2,971.54x = 11,775,139.76
  5. Step 5: Solve for x
    x = 11,775,139.76/2,971.54
  6. Step 6: Final answer
    x = 3,962.64

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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.