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Finding the Fourth Proportional to 5,140.63, 7,713.02 and 1,853.96

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Solution

The fourth proportional to 5,140.63, 7,713.02 and 1,853.96 is: 2,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.63 : 7,713.02 = 1,853.96 : x
  2. Step 2: Convert to fraction form
    5,140.63/7,713.02 = 1,853.96/x
  3. Step 3: Cross multiply
    5,140.63x = 7,713.02 × 1,853.96
  4. Step 4: Simplify right side
    5,140.63x = 14,299,596.63
  5. Step 5: Solve for x
    x = 14,299,596.63/5,140.63
  6. Step 6: Final answer
    x = 2,781.68

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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.