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Finding the Fourth Proportional to 4,759.94, 7,141.73 and 1,985.89

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Solution

The fourth proportional to 4,759.94, 7,141.73 and 1,985.89 is: 2,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.94 : 7,141.73 = 1,985.89 : x
  2. Step 2: Convert to fraction form
    4,759.94/7,141.73 = 1,985.89/x
  3. Step 3: Cross multiply
    4,759.94x = 7,141.73 × 1,985.89
  4. Step 4: Simplify right side
    4,759.94x = 14,182,690.19
  5. Step 5: Solve for x
    x = 14,182,690.19/4,759.94
  6. Step 6: Final answer
    x = 2,979.59

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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.