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Finding the Fourth Proportional to 6,400.84, 9,601.64 and 1,783.84

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Solution

The fourth proportional to 6,400.84, 9,601.64 and 1,783.84 is: 2,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.84 : 9,601.64 = 1,783.84 : x
  2. Step 2: Convert to fraction form
    6,400.84/9,601.64 = 1,783.84/x
  3. Step 3: Cross multiply
    6,400.84x = 9,601.64 × 1,783.84
  4. Step 4: Simplify right side
    6,400.84x = 17,127,789.50
  5. Step 5: Solve for x
    x = 17,127,789.50/6,400.84
  6. Step 6: Final answer
    x = 2,675.87

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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.