Home / 10,806.40-14,908.74-6,826

Finding the Fourth Proportional to 10,806.40, 14,908.74 and 6,826

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Solution

The fourth proportional to 10,806.40, 14,908.74 and 6,826 is: 9,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.40 : 14,908.74 = 6,826 : x
  2. Step 2: Convert to fraction form
    10,806.40/14,908.74 = 6,826/x
  3. Step 3: Cross multiply
    10,806.40x = 14,908.74 × 6,826
  4. Step 4: Simplify right side
    10,806.40x = 101,767,059.24
  5. Step 5: Solve for x
    x = 101,767,059.24/10,806.40
  6. Step 6: Final answer
    x = 9,417.30

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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.