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Finding the Fourth Proportional to 1,765.55, 2,435.09 and 1,234.26

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Solution

The fourth proportional to 1,765.55, 2,435.09 and 1,234.26 is: 1,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.55 : 2,435.09 = 1,234.26 : x
  2. Step 2: Convert to fraction form
    1,765.55/2,435.09 = 1,234.26/x
  3. Step 3: Cross multiply
    1,765.55x = 2,435.09 × 1,234.26
  4. Step 4: Simplify right side
    1,765.55x = 3,005,528.01
  5. Step 5: Solve for x
    x = 3,005,528.01/1,765.55
  6. Step 6: Final answer
    x = 1,702.32

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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.