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Finding the Fourth Proportional to 2,403.81, 3,602.07 and 1,784.61

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Solution

The fourth proportional to 2,403.81, 3,602.07 and 1,784.61 is: 2,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.81 : 3,602.07 = 1,784.61 : x
  2. Step 2: Convert to fraction form
    2,403.81/3,602.07 = 1,784.61/x
  3. Step 3: Cross multiply
    2,403.81x = 3,602.07 × 1,784.61
  4. Step 4: Simplify right side
    2,403.81x = 6,428,290.14
  5. Step 5: Solve for x
    x = 6,428,290.14/2,403.81
  6. Step 6: Final answer
    x = 2,674.21

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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.