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Finding the Fourth Proportional to 6,806.51, 9,386.07 and 6,409.65

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Solution

The fourth proportional to 6,806.51, 9,386.07 and 6,409.65 is: 8,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.51 : 9,386.07 = 6,409.65 : x
  2. Step 2: Convert to fraction form
    6,806.51/9,386.07 = 6,409.65/x
  3. Step 3: Cross multiply
    6,806.51x = 9,386.07 × 6,409.65
  4. Step 4: Simplify right side
    6,806.51x = 60,161,423.58
  5. Step 5: Solve for x
    x = 60,161,423.58/6,806.51
  6. Step 6: Final answer
    x = 8,838.81

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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.