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Finding the Fourth Proportional to 2,407.86, 3,322.99 and 1,345.68

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Solution

The fourth proportional to 2,407.86, 3,322.99 and 1,345.68 is: 1,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.86 : 3,322.99 = 1,345.68 : x
  2. Step 2: Convert to fraction form
    2,407.86/3,322.99 = 1,345.68/x
  3. Step 3: Cross multiply
    2,407.86x = 3,322.99 × 1,345.68
  4. Step 4: Simplify right side
    2,407.86x = 4,471,682.87
  5. Step 5: Solve for x
    x = 4,471,682.87/2,407.86
  6. Step 6: Final answer
    x = 1,857.12

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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.