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Finding the Fourth Proportional to 5,638.72, 8,459.56 and 2,560

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Solution

The fourth proportional to 5,638.72, 8,459.56 and 2,560 is: 3,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.72 : 8,459.56 = 2,560 : x
  2. Step 2: Convert to fraction form
    5,638.72/8,459.56 = 2,560/x
  3. Step 3: Cross multiply
    5,638.72x = 8,459.56 × 2,560
  4. Step 4: Simplify right side
    5,638.72x = 21,656,473.60
  5. Step 5: Solve for x
    x = 21,656,473.60/5,638.72
  6. Step 6: Final answer
    x = 3,840.67

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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.