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Finding the Fourth Proportional to 2,147.78, 2,964.40 and 1,308.76

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Solution

The fourth proportional to 2,147.78, 2,964.40 and 1,308.76 is: 1,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.78 : 2,964.40 = 1,308.76 : x
  2. Step 2: Convert to fraction form
    2,147.78/2,964.40 = 1,308.76/x
  3. Step 3: Cross multiply
    2,147.78x = 2,964.40 × 1,308.76
  4. Step 4: Simplify right side
    2,147.78x = 3,879,688.14
  5. Step 5: Solve for x
    x = 3,879,688.14/2,147.78
  6. Step 6: Final answer
    x = 1,806.37

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1.5x scale

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.