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Finding the Fourth Proportional to 2,140.60, 3,210.90 and 2,027.20

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Solution

The fourth proportional to 2,140.60, 3,210.90 and 2,027.20 is: 3,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.60 : 3,210.90 = 2,027.20 : x
  2. Step 2: Convert to fraction form
    2,140.60/3,210.90 = 2,027.20/x
  3. Step 3: Cross multiply
    2,140.60x = 3,210.90 × 2,027.20
  4. Step 4: Simplify right side
    2,140.60x = 6,509,136.48
  5. Step 5: Solve for x
    x = 6,509,136.48/2,140.60
  6. Step 6: Final answer
    x = 3,040.80

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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.