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Finding the Fourth Proportional to 12,578.94, 18,868.59 and 4,788.18

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Solution

The fourth proportional to 12,578.94, 18,868.59 and 4,788.18 is: 7,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.94 : 18,868.59 = 4,788.18 : x
  2. Step 2: Convert to fraction form
    12,578.94/18,868.59 = 4,788.18/x
  3. Step 3: Cross multiply
    12,578.94x = 18,868.59 × 4,788.18
  4. Step 4: Simplify right side
    12,578.94x = 90,346,205.27
  5. Step 5: Solve for x
    x = 90,346,205.27/12,578.94
  6. Step 6: Final answer
    x = 7,182.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.