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Finding the Fourth Proportional to 4,502.34, 6,213.02 and 2,512.50

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Solution

The fourth proportional to 4,502.34, 6,213.02 and 2,512.50 is: 3,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.34 : 6,213.02 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    4,502.34/6,213.02 = 2,512.50/x
  3. Step 3: Cross multiply
    4,502.34x = 6,213.02 × 2,512.50
  4. Step 4: Simplify right side
    4,502.34x = 15,610,200.19
  5. Step 5: Solve for x
    x = 15,610,200.19/4,502.34
  6. Step 6: Final answer
    x = 3,467.13

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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.