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Finding the Fourth Proportional to 2,010.48, 3,015.08 and 642.16

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Solution

The fourth proportional to 2,010.48, 3,015.08 and 642.16 is: 963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.48 : 3,015.08 = 642.16 : x
  2. Step 2: Convert to fraction form
    2,010.48/3,015.08 = 642.16/x
  3. Step 3: Cross multiply
    2,010.48x = 3,015.08 × 642.16
  4. Step 4: Simplify right side
    2,010.48x = 1,936,163.77
  5. Step 5: Solve for x
    x = 1,936,163.77/2,010.48
  6. Step 6: Final answer
    x = 963.04

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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.