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Finding the Fourth Proportional to 6,894.74, 10,342.51 and 1,964.77

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Solution

The fourth proportional to 6,894.74, 10,342.51 and 1,964.77 is: 2,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.74 : 10,342.51 = 1,964.77 : x
  2. Step 2: Convert to fraction form
    6,894.74/10,342.51 = 1,964.77/x
  3. Step 3: Cross multiply
    6,894.74x = 10,342.51 × 1,964.77
  4. Step 4: Simplify right side
    6,894.74x = 20,320,612.57
  5. Step 5: Solve for x
    x = 20,320,612.57/6,894.74
  6. Step 6: Final answer
    x = 2,947.26

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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.