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Finding the Fourth Proportional to 4,601.75, 6,902.63 and 1,139

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Solution

The fourth proportional to 4,601.75, 6,902.63 and 1,139 is: 1,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.75 : 6,902.63 = 1,139 : x
  2. Step 2: Convert to fraction form
    4,601.75/6,902.63 = 1,139/x
  3. Step 3: Cross multiply
    4,601.75x = 6,902.63 × 1,139
  4. Step 4: Simplify right side
    4,601.75x = 7,862,089.88
  5. Step 5: Solve for x
    x = 7,862,089.88/4,601.75
  6. Step 6: Final answer
    x = 1,708.50

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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.