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Finding the Fourth Proportional to 2,308, 3,184.78 and 1,313.22

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Solution

The fourth proportional to 2,308, 3,184.78 and 1,313.22 is: 1,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308 : 3,184.78 = 1,313.22 : x
  2. Step 2: Convert to fraction form
    2,308/3,184.78 = 1,313.22/x
  3. Step 3: Cross multiply
    2,308x = 3,184.78 × 1,313.22
  4. Step 4: Simplify right side
    2,308x = 4,182,316.79
  5. Step 5: Solve for x
    x = 4,182,316.79/2,308
  6. Step 6: Final answer
    x = 1,812.10

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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.