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Finding the Fourth Proportional to 5,614.65, 8,422.47 and 1,917.09

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Solution

The fourth proportional to 5,614.65, 8,422.47 and 1,917.09 is: 2,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.65 : 8,422.47 = 1,917.09 : x
  2. Step 2: Convert to fraction form
    5,614.65/8,422.47 = 1,917.09/x
  3. Step 3: Cross multiply
    5,614.65x = 8,422.47 × 1,917.09
  4. Step 4: Simplify right side
    5,614.65x = 16,146,633.01
  5. Step 5: Solve for x
    x = 16,146,633.01/5,614.65
  6. Step 6: Final answer
    x = 2,875.80

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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.