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Finding the Fourth Proportional to 9,357.94, 12,908.19 and 5,578.68

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Solution

The fourth proportional to 9,357.94, 12,908.19 and 5,578.68 is: 7,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.94 : 12,908.19 = 5,578.68 : x
  2. Step 2: Convert to fraction form
    9,357.94/12,908.19 = 5,578.68/x
  3. Step 3: Cross multiply
    9,357.94x = 12,908.19 × 5,578.68
  4. Step 4: Simplify right side
    9,357.94x = 72,010,661.39
  5. Step 5: Solve for x
    x = 72,010,661.39/9,357.94
  6. Step 6: Final answer
    x = 7,695.14

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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.