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Finding the Fourth Proportional to 5,405, 7,458.90 and 2,921

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Solution

The fourth proportional to 5,405, 7,458.90 and 2,921 is: 4,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405 : 7,458.90 = 2,921 : x
  2. Step 2: Convert to fraction form
    5,405/7,458.90 = 2,921/x
  3. Step 3: Cross multiply
    5,405x = 7,458.90 × 2,921
  4. Step 4: Simplify right side
    5,405x = 21,787,446.90
  5. Step 5: Solve for x
    x = 21,787,446.90/5,405
  6. Step 6: Final answer
    x = 4,030.98

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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.