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Finding the Fourth Proportional to 5,120, 7,065.60 and 2,912

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Solution

The fourth proportional to 5,120, 7,065.60 and 2,912 is: 4,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120 : 7,065.60 = 2,912 : x
  2. Step 2: Convert to fraction form
    5,120/7,065.60 = 2,912/x
  3. Step 3: Cross multiply
    5,120x = 7,065.60 × 2,912
  4. Step 4: Simplify right side
    5,120x = 20,575,027.20
  5. Step 5: Solve for x
    x = 20,575,027.20/5,120
  6. Step 6: Final answer
    x = 4,018.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.