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Finding the Fourth Proportional to 9,357.57, 12,912.90 and 5,107.79

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Solution

The fourth proportional to 9,357.57, 12,912.90 and 5,107.79 is: 7,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.57 : 12,912.90 = 5,107.79 : x
  2. Step 2: Convert to fraction form
    9,357.57/12,912.90 = 5,107.79/x
  3. Step 3: Cross multiply
    9,357.57x = 12,912.90 × 5,107.79
  4. Step 4: Simplify right side
    9,357.57x = 65,956,381.49
  5. Step 5: Solve for x
    x = 65,956,381.49/9,357.57
  6. Step 6: Final answer
    x = 7,048.45

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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.