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Finding the Fourth Proportional to 2,010.85, 3,015.28 and 840.50

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Solution

The fourth proportional to 2,010.85, 3,015.28 and 840.50 is: 1,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.85 : 3,015.28 = 840.50 : x
  2. Step 2: Convert to fraction form
    2,010.85/3,015.28 = 840.50/x
  3. Step 3: Cross multiply
    2,010.85x = 3,015.28 × 840.50
  4. Step 4: Simplify right side
    2,010.85x = 2,534,342.84
  5. Step 5: Solve for x
    x = 2,534,342.84/2,010.85
  6. Step 6: Final answer
    x = 1,260.33

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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.