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Finding the Fourth Proportional to 2,008.45, 3,010.65 and 913.60

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Solution

The fourth proportional to 2,008.45, 3,010.65 and 913.60 is: 1,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.45 : 3,010.65 = 913.60 : x
  2. Step 2: Convert to fraction form
    2,008.45/3,010.65 = 913.60/x
  3. Step 3: Cross multiply
    2,008.45x = 3,010.65 × 913.60
  4. Step 4: Simplify right side
    2,008.45x = 2,750,529.84
  5. Step 5: Solve for x
    x = 2,750,529.84/2,008.45
  6. Step 6: Final answer
    x = 1,369.48

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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.