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Finding the Fourth Proportional to 7,878.65, 11,805.65 and 4,950.80

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Solution

The fourth proportional to 7,878.65, 11,805.65 and 4,950.80 is: 7,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.65 : 11,805.65 = 4,950.80 : x
  2. Step 2: Convert to fraction form
    7,878.65/11,805.65 = 4,950.80/x
  3. Step 3: Cross multiply
    7,878.65x = 11,805.65 × 4,950.80
  4. Step 4: Simplify right side
    7,878.65x = 58,447,453.91
  5. Step 5: Solve for x
    x = 58,447,453.91/7,878.65
  6. Step 6: Final answer
    x = 7,418.47

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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.