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Finding the Fourth Proportional to 5,708.64, 8,565.20 and 1,813.60

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Solution

The fourth proportional to 5,708.64, 8,565.20 and 1,813.60 is: 2,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.64 : 8,565.20 = 1,813.60 : x
  2. Step 2: Convert to fraction form
    5,708.64/8,565.20 = 1,813.60/x
  3. Step 3: Cross multiply
    5,708.64x = 8,565.20 × 1,813.60
  4. Step 4: Simplify right side
    5,708.64x = 15,533,846.72
  5. Step 5: Solve for x
    x = 15,533,846.72/5,708.64
  6. Step 6: Final answer
    x = 2,721.11

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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.