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Finding the Fourth Proportional to 2,666.94, 4,000.66 and 692.57

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Solution

The fourth proportional to 2,666.94, 4,000.66 and 692.57 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 4,000.66 = 692.57 : x
  2. Step 2: Convert to fraction form
    2,666.94/4,000.66 = 692.57/x
  3. Step 3: Cross multiply
    2,666.94x = 4,000.66 × 692.57
  4. Step 4: Simplify right side
    2,666.94x = 2,770,722.86
  5. Step 5: Solve for x
    x = 2,770,722.86/2,666.94
  6. Step 6: Final answer
    x = 1,038.91

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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.