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Finding the Fourth Proportional to 2,155.99, 3,229.12 and 1,509.61

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Solution

The fourth proportional to 2,155.99, 3,229.12 and 1,509.61 is: 2,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.99 : 3,229.12 = 1,509.61 : x
  2. Step 2: Convert to fraction form
    2,155.99/3,229.12 = 1,509.61/x
  3. Step 3: Cross multiply
    2,155.99x = 3,229.12 × 1,509.61
  4. Step 4: Simplify right side
    2,155.99x = 4,874,688.15
  5. Step 5: Solve for x
    x = 4,874,688.15/2,155.99
  6. Step 6: Final answer
    x = 2,261.00

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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.