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Finding the Fourth Proportional to 2,019.66, 2,787.16 and 1,223.00

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Solution

The fourth proportional to 2,019.66, 2,787.16 and 1,223.00 is: 1,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.66 : 2,787.16 = 1,223.00 : x
  2. Step 2: Convert to fraction form
    2,019.66/2,787.16 = 1,223.00/x
  3. Step 3: Cross multiply
    2,019.66x = 2,787.16 × 1,223.00
  4. Step 4: Simplify right side
    2,019.66x = 3,408,708.11
  5. Step 5: Solve for x
    x = 3,408,708.11/2,019.66
  6. Step 6: Final answer
    x = 1,687.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.