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Finding the Fourth Proportional to 5,673.71, 8,513.64 and 2,389.10

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Solution

The fourth proportional to 5,673.71, 8,513.64 and 2,389.10 is: 3,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.71 : 8,513.64 = 2,389.10 : x
  2. Step 2: Convert to fraction form
    5,673.71/8,513.64 = 2,389.10/x
  3. Step 3: Cross multiply
    5,673.71x = 8,513.64 × 2,389.10
  4. Step 4: Simplify right side
    5,673.71x = 20,339,894.76
  5. Step 5: Solve for x
    x = 20,339,894.76/5,673.71
  6. Step 6: Final answer
    x = 3,584.94

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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.