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Finding the Fourth Proportional to 3,200.47, 4,798.64 and 2,101.50

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Solution

The fourth proportional to 3,200.47, 4,798.64 and 2,101.50 is: 3,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.47 : 4,798.64 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    3,200.47/4,798.64 = 2,101.50/x
  3. Step 3: Cross multiply
    3,200.47x = 4,798.64 × 2,101.50
  4. Step 4: Simplify right side
    3,200.47x = 10,084,341.96
  5. Step 5: Solve for x
    x = 10,084,341.96/3,200.47
  6. Step 6: Final answer
    x = 3,150.89

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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.