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Finding the Fourth Proportional to 8,406.78, 11,599.94 and 4,869.38

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Solution

The fourth proportional to 8,406.78, 11,599.94 and 4,869.38 is: 6,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.78 : 11,599.94 = 4,869.38 : x
  2. Step 2: Convert to fraction form
    8,406.78/11,599.94 = 4,869.38/x
  3. Step 3: Cross multiply
    8,406.78x = 11,599.94 × 4,869.38
  4. Step 4: Simplify right side
    8,406.78x = 56,484,515.84
  5. Step 5: Solve for x
    x = 56,484,515.84/8,406.78
  6. Step 6: Final answer
    x = 6,718.92

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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.