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Finding the Fourth Proportional to 1,762.99, 2,640.02 and 1,059.78

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Solution

The fourth proportional to 1,762.99, 2,640.02 and 1,059.78 is: 1,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.99 : 2,640.02 = 1,059.78 : x
  2. Step 2: Convert to fraction form
    1,762.99/2,640.02 = 1,059.78/x
  3. Step 3: Cross multiply
    1,762.99x = 2,640.02 × 1,059.78
  4. Step 4: Simplify right side
    1,762.99x = 2,797,840.40
  5. Step 5: Solve for x
    x = 2,797,840.40/1,762.99
  6. Step 6: Final answer
    x = 1,586.99

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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.