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Finding the Fourth Proportional to 2,190.29, 3,285.42 and 651.29

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Solution

The fourth proportional to 2,190.29, 3,285.42 and 651.29 is: 976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.29 : 3,285.42 = 651.29 : x
  2. Step 2: Convert to fraction form
    2,190.29/3,285.42 = 651.29/x
  3. Step 3: Cross multiply
    2,190.29x = 3,285.42 × 651.29
  4. Step 4: Simplify right side
    2,190.29x = 2,139,744.76
  5. Step 5: Solve for x
    x = 2,139,744.76/2,190.29
  6. Step 6: Final answer
    x = 976.93

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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.