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Finding the Fourth Proportional to 2,190.50, 3,285.75 and 651.50

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Solution

The fourth proportional to 2,190.50, 3,285.75 and 651.50 is: 977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.50 : 3,285.75 = 651.50 : x
  2. Step 2: Convert to fraction form
    2,190.50/3,285.75 = 651.50/x
  3. Step 3: Cross multiply
    2,190.50x = 3,285.75 × 651.50
  4. Step 4: Simplify right side
    2,190.50x = 2,140,666.13
  5. Step 5: Solve for x
    x = 2,140,666.13/2,190.50
  6. Step 6: Final answer
    x = 977.25

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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.