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Finding the Fourth Proportional to 12,700.78, 19,039.80 and 4,907.80

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Solution

The fourth proportional to 12,700.78, 19,039.80 and 4,907.80 is: 7,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.78 : 19,039.80 = 4,907.80 : x
  2. Step 2: Convert to fraction form
    12,700.78/19,039.80 = 4,907.80/x
  3. Step 3: Cross multiply
    12,700.78x = 19,039.80 × 4,907.80
  4. Step 4: Simplify right side
    12,700.78x = 93,443,530.44
  5. Step 5: Solve for x
    x = 93,443,530.44/12,700.78
  6. Step 6: Final answer
    x = 7,357.31

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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.