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Finding the Fourth Proportional to 12,578.07, 17,357.73 and 6,989.07

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Solution

The fourth proportional to 12,578.07, 17,357.73 and 6,989.07 is: 9,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.07 : 17,357.73 = 6,989.07 : x
  2. Step 2: Convert to fraction form
    12,578.07/17,357.73 = 6,989.07/x
  3. Step 3: Cross multiply
    12,578.07x = 17,357.73 × 6,989.07
  4. Step 4: Simplify right side
    12,578.07x = 121,314,390.01
  5. Step 5: Solve for x
    x = 121,314,390.01/12,578.07
  6. Step 6: Final answer
    x = 9,644.91

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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.