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Finding the Fourth Proportional to 5,368.60, 8,053.30 and 1,905.40

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Solution

The fourth proportional to 5,368.60, 8,053.30 and 1,905.40 is: 2,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.60 : 8,053.30 = 1,905.40 : x
  2. Step 2: Convert to fraction form
    5,368.60/8,053.30 = 1,905.40/x
  3. Step 3: Cross multiply
    5,368.60x = 8,053.30 × 1,905.40
  4. Step 4: Simplify right side
    5,368.60x = 15,344,757.82
  5. Step 5: Solve for x
    x = 15,344,757.82/5,368.60
  6. Step 6: Final answer
    x = 2,858.24

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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.