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Finding the Fourth Proportional to 2,409.92, 3,325.71 and 1,415.51

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Solution

The fourth proportional to 2,409.92, 3,325.71 and 1,415.51 is: 1,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.92 : 3,325.71 = 1,415.51 : x
  2. Step 2: Convert to fraction form
    2,409.92/3,325.71 = 1,415.51/x
  3. Step 3: Cross multiply
    2,409.92x = 3,325.71 × 1,415.51
  4. Step 4: Simplify right side
    2,409.92x = 4,707,559.13
  5. Step 5: Solve for x
    x = 4,707,559.13/2,409.92
  6. Step 6: Final answer
    x = 1,953.41

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1.5x scale

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.