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Finding the Fourth Proportional to 5,715.74, 8,588 and 3,636.68

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Solution

The fourth proportional to 5,715.74, 8,588 and 3,636.68 is: 5,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.74 : 8,588 = 3,636.68 : x
  2. Step 2: Convert to fraction form
    5,715.74/8,588 = 3,636.68/x
  3. Step 3: Cross multiply
    5,715.74x = 8,588 × 3,636.68
  4. Step 4: Simplify right side
    5,715.74x = 31,231,807.84
  5. Step 5: Solve for x
    x = 31,231,807.84/5,715.74
  6. Step 6: Final answer
    x = 5,464.18

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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.