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Finding the Fourth Proportional to 6,455.94, 9,685.53 and 1,838.94

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Solution

The fourth proportional to 6,455.94, 9,685.53 and 1,838.94 is: 2,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.94 : 9,685.53 = 1,838.94 : x
  2. Step 2: Convert to fraction form
    6,455.94/9,685.53 = 1,838.94/x
  3. Step 3: Cross multiply
    6,455.94x = 9,685.53 × 1,838.94
  4. Step 4: Simplify right side
    6,455.94x = 17,811,108.54
  5. Step 5: Solve for x
    x = 17,811,108.54/6,455.94
  6. Step 6: Final answer
    x = 2,758.87

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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.