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Finding the Fourth Proportional to 7,978.37, 11,967.53 and 3,048.50

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Solution

The fourth proportional to 7,978.37, 11,967.53 and 3,048.50 is: 4,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.37 : 11,967.53 = 3,048.50 : x
  2. Step 2: Convert to fraction form
    7,978.37/11,967.53 = 3,048.50/x
  3. Step 3: Cross multiply
    7,978.37x = 11,967.53 × 3,048.50
  4. Step 4: Simplify right side
    7,978.37x = 36,483,029.88
  5. Step 5: Solve for x
    x = 36,483,029.88/7,978.37
  6. Step 6: Final answer
    x = 4,572.75

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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.