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Finding the Fourth Proportional to 1,522.11, 2,100.02 and 858.79

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Solution

The fourth proportional to 1,522.11, 2,100.02 and 858.79 is: 1,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.11 : 2,100.02 = 858.79 : x
  2. Step 2: Convert to fraction form
    1,522.11/2,100.02 = 858.79/x
  3. Step 3: Cross multiply
    1,522.11x = 2,100.02 × 858.79
  4. Step 4: Simplify right side
    1,522.11x = 1,803,466.63
  5. Step 5: Solve for x
    x = 1,803,466.63/1,522.11
  6. Step 6: Final answer
    x = 1,184.85

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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.