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Finding the Fourth Proportional to 9,912.78, 13,653.36 and 7,386.81

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Solution

The fourth proportional to 9,912.78, 13,653.36 and 7,386.81 is: 10,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.78 : 13,653.36 = 7,386.81 : x
  2. Step 2: Convert to fraction form
    9,912.78/13,653.36 = 7,386.81/x
  3. Step 3: Cross multiply
    9,912.78x = 13,653.36 × 7,386.81
  4. Step 4: Simplify right side
    9,912.78x = 100,854,776.18
  5. Step 5: Solve for x
    x = 100,854,776.18/9,912.78
  6. Step 6: Final answer
    x = 10,174.22

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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.