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Finding the Fourth Proportional to 5,218.63, 7,827.94 and 5,156.66

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Solution

The fourth proportional to 5,218.63, 7,827.94 and 5,156.66 is: 7,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.63 : 7,827.94 = 5,156.66 : x
  2. Step 2: Convert to fraction form
    5,218.63/7,827.94 = 5,156.66/x
  3. Step 3: Cross multiply
    5,218.63x = 7,827.94 × 5,156.66
  4. Step 4: Simplify right side
    5,218.63x = 40,366,051.10
  5. Step 5: Solve for x
    x = 40,366,051.10/5,218.63
  6. Step 6: Final answer
    x = 7,734.99

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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.