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Finding the Fourth Proportional to 5,408.99, 8,113.80 and 1,513.40

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Solution

The fourth proportional to 5,408.99, 8,113.80 and 1,513.40 is: 2,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.99 : 8,113.80 = 1,513.40 : x
  2. Step 2: Convert to fraction form
    5,408.99/8,113.80 = 1,513.40/x
  3. Step 3: Cross multiply
    5,408.99x = 8,113.80 × 1,513.40
  4. Step 4: Simplify right side
    5,408.99x = 12,279,424.92
  5. Step 5: Solve for x
    x = 12,279,424.92/5,408.99
  6. Step 6: Final answer
    x = 2,270.19

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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.