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Finding the Fourth Proportional to 2,943.15, 4,411.98 and 993.99

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Solution

The fourth proportional to 2,943.15, 4,411.98 and 993.99 is: 1,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.15 : 4,411.98 = 993.99 : x
  2. Step 2: Convert to fraction form
    2,943.15/4,411.98 = 993.99/x
  3. Step 3: Cross multiply
    2,943.15x = 4,411.98 × 993.99
  4. Step 4: Simplify right side
    2,943.15x = 4,385,464.00
  5. Step 5: Solve for x
    x = 4,385,464.00/2,943.15
  6. Step 6: Final answer
    x = 1,490.06

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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.