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Finding the Fourth Proportional to 2,903.68, 4,354.74 and 1,259.84

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Solution

The fourth proportional to 2,903.68, 4,354.74 and 1,259.84 is: 1,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.68 : 4,354.74 = 1,259.84 : x
  2. Step 2: Convert to fraction form
    2,903.68/4,354.74 = 1,259.84/x
  3. Step 3: Cross multiply
    2,903.68x = 4,354.74 × 1,259.84
  4. Step 4: Simplify right side
    2,903.68x = 5,486,275.64
  5. Step 5: Solve for x
    x = 5,486,275.64/2,903.68
  6. Step 6: Final answer
    x = 1,889.42

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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.