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Finding the Fourth Proportional to 4,957.34, 7,420.51 and 3,200

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Solution

The fourth proportional to 4,957.34, 7,420.51 and 3,200 is: 4,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.34 : 7,420.51 = 3,200 : x
  2. Step 2: Convert to fraction form
    4,957.34/7,420.51 = 3,200/x
  3. Step 3: Cross multiply
    4,957.34x = 7,420.51 × 3,200
  4. Step 4: Simplify right side
    4,957.34x = 23,745,632
  5. Step 5: Solve for x
    x = 23,745,632/4,957.34
  6. Step 6: Final answer
    x = 4,789.99

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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.