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Finding the Fourth Proportional to 4,271.20, 5,894 and 2,502.72

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Solution

The fourth proportional to 4,271.20, 5,894 and 2,502.72 is: 3,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.20 : 5,894 = 2,502.72 : x
  2. Step 2: Convert to fraction form
    4,271.20/5,894 = 2,502.72/x
  3. Step 3: Cross multiply
    4,271.20x = 5,894 × 2,502.72
  4. Step 4: Simplify right side
    4,271.20x = 14,751,031.68
  5. Step 5: Solve for x
    x = 14,751,031.68/4,271.20
  6. Step 6: Final answer
    x = 3,453.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.