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Finding the Fourth Proportional to 1,905.70, 2,860.16 and 752.26

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Solution

The fourth proportional to 1,905.70, 2,860.16 and 752.26 is: 1,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.70 : 2,860.16 = 752.26 : x
  2. Step 2: Convert to fraction form
    1,905.70/2,860.16 = 752.26/x
  3. Step 3: Cross multiply
    1,905.70x = 2,860.16 × 752.26
  4. Step 4: Simplify right side
    1,905.70x = 2,151,583.96
  5. Step 5: Solve for x
    x = 2,151,583.96/1,905.70
  6. Step 6: Final answer
    x = 1,129.03

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1.5x scale

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.