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Finding the Fourth Proportional to 5,813.76, 8,720.64 and 2,348.64

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Solution

The fourth proportional to 5,813.76, 8,720.64 and 2,348.64 is: 3,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.76 : 8,720.64 = 2,348.64 : x
  2. Step 2: Convert to fraction form
    5,813.76/8,720.64 = 2,348.64/x
  3. Step 3: Cross multiply
    5,813.76x = 8,720.64 × 2,348.64
  4. Step 4: Simplify right side
    5,813.76x = 20,481,643.93
  5. Step 5: Solve for x
    x = 20,481,643.93/5,813.76
  6. Step 6: Final answer
    x = 3,522.96

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1.5x scale

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.