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Finding the Fourth Proportional to 3,460.05, 5,190.06 and 862.99

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Solution

The fourth proportional to 3,460.05, 5,190.06 and 862.99 is: 1,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.05 : 5,190.06 = 862.99 : x
  2. Step 2: Convert to fraction form
    3,460.05/5,190.06 = 862.99/x
  3. Step 3: Cross multiply
    3,460.05x = 5,190.06 × 862.99
  4. Step 4: Simplify right side
    3,460.05x = 4,478,979.60
  5. Step 5: Solve for x
    x = 4,478,979.60/3,460.05
  6. Step 6: Final answer
    x = 1,294.48

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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.