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Finding the Fourth Proportional to 3,200.04, 4,794.53 and 3,123.50

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Solution

The fourth proportional to 3,200.04, 4,794.53 and 3,123.50 is: 4,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.04 : 4,794.53 = 3,123.50 : x
  2. Step 2: Convert to fraction form
    3,200.04/4,794.53 = 3,123.50/x
  3. Step 3: Cross multiply
    3,200.04x = 4,794.53 × 3,123.50
  4. Step 4: Simplify right side
    3,200.04x = 14,975,674.86
  5. Step 5: Solve for x
    x = 14,975,674.86/3,200.04
  6. Step 6: Final answer
    x = 4,679.84

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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.