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Finding the Fourth Proportional to 7,259, 10,017.60 and 3,947

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Solution

The fourth proportional to 7,259, 10,017.60 and 3,947 is: 5,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259 : 10,017.60 = 3,947 : x
  2. Step 2: Convert to fraction form
    7,259/10,017.60 = 3,947/x
  3. Step 3: Cross multiply
    7,259x = 10,017.60 × 3,947
  4. Step 4: Simplify right side
    7,259x = 39,539,467.20
  5. Step 5: Solve for x
    x = 39,539,467.20/7,259
  6. Step 6: Final answer
    x = 5,446.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.