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Finding the Fourth Proportional to 5,218.65, 7,827.18 and 1,709.01

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Solution

The fourth proportional to 5,218.65, 7,827.18 and 1,709.01 is: 2,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.65 : 7,827.18 = 1,709.01 : x
  2. Step 2: Convert to fraction form
    5,218.65/7,827.18 = 1,709.01/x
  3. Step 3: Cross multiply
    5,218.65x = 7,827.18 × 1,709.01
  4. Step 4: Simplify right side
    5,218.65x = 13,376,743.10
  5. Step 5: Solve for x
    x = 13,376,743.10/5,218.65
  6. Step 6: Final answer
    x = 2,563.26

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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.