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Finding the Fourth Proportional to 12,570.69, 18,855.74 and 6,329.02

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Solution

The fourth proportional to 12,570.69, 18,855.74 and 6,329.02 is: 9,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.69 : 18,855.74 = 6,329.02 : x
  2. Step 2: Convert to fraction form
    12,570.69/18,855.74 = 6,329.02/x
  3. Step 3: Cross multiply
    12,570.69x = 18,855.74 × 6,329.02
  4. Step 4: Simplify right side
    12,570.69x = 119,338,355.57
  5. Step 5: Solve for x
    x = 119,338,355.57/12,570.69
  6. Step 6: Final answer
    x = 9,493.38

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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.