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Finding the Fourth Proportional to 5,368.08, 8,053.20 and 1,905.60

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Solution

The fourth proportional to 5,368.08, 8,053.20 and 1,905.60 is: 2,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.08 : 8,053.20 = 1,905.60 : x
  2. Step 2: Convert to fraction form
    5,368.08/8,053.20 = 1,905.60/x
  3. Step 3: Cross multiply
    5,368.08x = 8,053.20 × 1,905.60
  4. Step 4: Simplify right side
    5,368.08x = 15,346,177.92
  5. Step 5: Solve for x
    x = 15,346,177.92/5,368.08
  6. Step 6: Final answer
    x = 2,858.78

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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.