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Finding the Fourth Proportional to 2,604.71, 3,903.75 and 1,875.71

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Solution

The fourth proportional to 2,604.71, 3,903.75 and 1,875.71 is: 2,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.71 : 3,903.75 = 1,875.71 : x
  2. Step 2: Convert to fraction form
    2,604.71/3,903.75 = 1,875.71/x
  3. Step 3: Cross multiply
    2,604.71x = 3,903.75 × 1,875.71
  4. Step 4: Simplify right side
    2,604.71x = 7,322,283.39
  5. Step 5: Solve for x
    x = 7,322,283.39/2,604.71
  6. Step 6: Final answer
    x = 2,811.18

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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.