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Finding the Fourth Proportional to 4,867, 7,300.50 and 1,789

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Solution

The fourth proportional to 4,867, 7,300.50 and 1,789 is: 2,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867 : 7,300.50 = 1,789 : x
  2. Step 2: Convert to fraction form
    4,867/7,300.50 = 1,789/x
  3. Step 3: Cross multiply
    4,867x = 7,300.50 × 1,789
  4. Step 4: Simplify right side
    4,867x = 13,060,594.50
  5. Step 5: Solve for x
    x = 13,060,594.50/4,867
  6. Step 6: Final answer
    x = 2,683.50

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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.