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Finding the Fourth Proportional to 6,411.63, 9,619.06 and 1,969.51

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Solution

The fourth proportional to 6,411.63, 9,619.06 and 1,969.51 is: 2,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.63 : 9,619.06 = 1,969.51 : x
  2. Step 2: Convert to fraction form
    6,411.63/9,619.06 = 1,969.51/x
  3. Step 3: Cross multiply
    6,411.63x = 9,619.06 × 1,969.51
  4. Step 4: Simplify right side
    6,411.63x = 18,944,834.86
  5. Step 5: Solve for x
    x = 18,944,834.86/6,411.63
  6. Step 6: Final answer
    x = 2,954.76

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1.5x scale

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.