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Finding the Fourth Proportional to 3,798.70, 5,234.43 and 2,802.40

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Solution

The fourth proportional to 3,798.70, 5,234.43 and 2,802.40 is: 3,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.70 : 5,234.43 = 2,802.40 : x
  2. Step 2: Convert to fraction form
    3,798.70/5,234.43 = 2,802.40/x
  3. Step 3: Cross multiply
    3,798.70x = 5,234.43 × 2,802.40
  4. Step 4: Simplify right side
    3,798.70x = 14,668,966.63
  5. Step 5: Solve for x
    x = 14,668,966.63/3,798.70
  6. Step 6: Final answer
    x = 3,861.58

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1.5x scale

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.