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Finding the Fourth Proportional to 5,415.76, 7,473.68 and 3,320

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Solution

The fourth proportional to 5,415.76, 7,473.68 and 3,320 is: 4,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.76 : 7,473.68 = 3,320 : x
  2. Step 2: Convert to fraction form
    5,415.76/7,473.68 = 3,320/x
  3. Step 3: Cross multiply
    5,415.76x = 7,473.68 × 3,320
  4. Step 4: Simplify right side
    5,415.76x = 24,812,617.60
  5. Step 5: Solve for x
    x = 24,812,617.60/5,415.76
  6. Step 6: Final answer
    x = 4,581.56

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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.