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Finding the Fourth Proportional to 5,708.64, 8,559.60 and 2,784

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Solution

The fourth proportional to 5,708.64, 8,559.60 and 2,784 is: 4,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.64 : 8,559.60 = 2,784 : x
  2. Step 2: Convert to fraction form
    5,708.64/8,559.60 = 2,784/x
  3. Step 3: Cross multiply
    5,708.64x = 8,559.60 × 2,784
  4. Step 4: Simplify right side
    5,708.64x = 23,829,926.40
  5. Step 5: Solve for x
    x = 23,829,926.40/5,708.64
  6. Step 6: Final answer
    x = 4,174.36

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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.