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Finding the Fourth Proportional to 2,010.76, 3,016.15 and 840.49

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Solution

The fourth proportional to 2,010.76, 3,016.15 and 840.49 is: 1,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.76 : 3,016.15 = 840.49 : x
  2. Step 2: Convert to fraction form
    2,010.76/3,016.15 = 840.49/x
  3. Step 3: Cross multiply
    2,010.76x = 3,016.15 × 840.49
  4. Step 4: Simplify right side
    2,010.76x = 2,535,039.71
  5. Step 5: Solve for x
    x = 2,535,039.71/2,010.76
  6. Step 6: Final answer
    x = 1,260.74

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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.