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Finding the Fourth Proportional to 9,391.07, 12,938.40 and 7,709.81

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Solution

The fourth proportional to 9,391.07, 12,938.40 and 7,709.81 is: 10,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.07 : 12,938.40 = 7,709.81 : x
  2. Step 2: Convert to fraction form
    9,391.07/12,938.40 = 7,709.81/x
  3. Step 3: Cross multiply
    9,391.07x = 12,938.40 × 7,709.81
  4. Step 4: Simplify right side
    9,391.07x = 99,752,541.01
  5. Step 5: Solve for x
    x = 99,752,541.01/9,391.07
  6. Step 6: Final answer
    x = 10,622.06

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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.