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Finding the Fourth Proportional to 6,918.42, 10,324.08 and 6,180.06

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Solution

The fourth proportional to 6,918.42, 10,324.08 and 6,180.06 is: 9,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.42 : 10,324.08 = 6,180.06 : x
  2. Step 2: Convert to fraction form
    6,918.42/10,324.08 = 6,180.06/x
  3. Step 3: Cross multiply
    6,918.42x = 10,324.08 × 6,180.06
  4. Step 4: Simplify right side
    6,918.42x = 63,803,433.84
  5. Step 5: Solve for x
    x = 63,803,433.84/6,918.42
  6. Step 6: Final answer
    x = 9,222.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.