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Finding the Fourth Proportional to 5,178.64, 7,761.04 and 1,888.64

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Solution

The fourth proportional to 5,178.64, 7,761.04 and 1,888.64 is: 2,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.64 : 7,761.04 = 1,888.64 : x
  2. Step 2: Convert to fraction form
    5,178.64/7,761.04 = 1,888.64/x
  3. Step 3: Cross multiply
    5,178.64x = 7,761.04 × 1,888.64
  4. Step 4: Simplify right side
    5,178.64x = 14,657,810.59
  5. Step 5: Solve for x
    x = 14,657,810.59/5,178.64
  6. Step 6: Final answer
    x = 2,830.44

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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.