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Finding the Fourth Proportional to 2,013, 2,775.60 and 1,313.16

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Solution

The fourth proportional to 2,013, 2,775.60 and 1,313.16 is: 1,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013 : 2,775.60 = 1,313.16 : x
  2. Step 2: Convert to fraction form
    2,013/2,775.60 = 1,313.16/x
  3. Step 3: Cross multiply
    2,013x = 2,775.60 × 1,313.16
  4. Step 4: Simplify right side
    2,013x = 3,644,806.90
  5. Step 5: Solve for x
    x = 3,644,806.90/2,013
  6. Step 6: Final answer
    x = 1,810.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.