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Finding the Fourth Proportional to 2,407.69, 3,322.63 and 1,330.93

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Solution

The fourth proportional to 2,407.69, 3,322.63 and 1,330.93 is: 1,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.69 : 3,322.63 = 1,330.93 : x
  2. Step 2: Convert to fraction form
    2,407.69/3,322.63 = 1,330.93/x
  3. Step 3: Cross multiply
    2,407.69x = 3,322.63 × 1,330.93
  4. Step 4: Simplify right side
    2,407.69x = 4,422,187.95
  5. Step 5: Solve for x
    x = 4,422,187.95/2,407.69
  6. Step 6: Final answer
    x = 1,836.69

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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.