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Finding the Fourth Proportional to 9,707.81, 13,393.55 and 7,912.20

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Solution

The fourth proportional to 9,707.81, 13,393.55 and 7,912.20 is: 10,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.81 : 13,393.55 = 7,912.20 : x
  2. Step 2: Convert to fraction form
    9,707.81/13,393.55 = 7,912.20/x
  3. Step 3: Cross multiply
    9,707.81x = 13,393.55 × 7,912.20
  4. Step 4: Simplify right side
    9,707.81x = 105,972,466.09
  5. Step 5: Solve for x
    x = 105,972,466.09/9,707.81
  6. Step 6: Final answer
    x = 10,916.20

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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.