Home / 10,826-14,935.20-6,995.84

Finding the Fourth Proportional to 10,826, 14,935.20 and 6,995.84

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Solution

The fourth proportional to 10,826, 14,935.20 and 6,995.84 is: 9,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826 : 14,935.20 = 6,995.84 : x
  2. Step 2: Convert to fraction form
    10,826/14,935.20 = 6,995.84/x
  3. Step 3: Cross multiply
    10,826x = 14,935.20 × 6,995.84
  4. Step 4: Simplify right side
    10,826x = 104,484,269.57
  5. Step 5: Solve for x
    x = 104,484,269.57/10,826
  6. Step 6: Final answer
    x = 9,651.23

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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.