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Finding the Fourth Proportional to 3,478.87, 5,218.31 and 882.01

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Solution

The fourth proportional to 3,478.87, 5,218.31 and 882.01 is: 1,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.87 : 5,218.31 = 882.01 : x
  2. Step 2: Convert to fraction form
    3,478.87/5,218.31 = 882.01/x
  3. Step 3: Cross multiply
    3,478.87x = 5,218.31 × 882.01
  4. Step 4: Simplify right side
    3,478.87x = 4,602,601.60
  5. Step 5: Solve for x
    x = 4,602,601.60/3,478.87
  6. Step 6: Final answer
    x = 1,323.02

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1.5x scale

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.