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Finding the Fourth Proportional to 5,190.64, 7,779.04 and 1,900.64

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Solution

The fourth proportional to 5,190.64, 7,779.04 and 1,900.64 is: 2,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.64 : 7,779.04 = 1,900.64 : x
  2. Step 2: Convert to fraction form
    5,190.64/7,779.04 = 1,900.64/x
  3. Step 3: Cross multiply
    5,190.64x = 7,779.04 × 1,900.64
  4. Step 4: Simplify right side
    5,190.64x = 14,785,154.59
  5. Step 5: Solve for x
    x = 14,785,154.59/5,190.64
  6. Step 6: Final answer
    x = 2,848.43

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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.