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Finding the Fourth Proportional to 1,902.99, 2,626.29 and 1,156.89

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Solution

The fourth proportional to 1,902.99, 2,626.29 and 1,156.89 is: 1,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.99 : 2,626.29 = 1,156.89 : x
  2. Step 2: Convert to fraction form
    1,902.99/2,626.29 = 1,156.89/x
  3. Step 3: Cross multiply
    1,902.99x = 2,626.29 × 1,156.89
  4. Step 4: Simplify right side
    1,902.99x = 3,038,328.64
  5. Step 5: Solve for x
    x = 3,038,328.64/1,902.99
  6. Step 6: Final answer
    x = 1,596.61

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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.