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Finding the Fourth Proportional to 7,674.72, 11,518.36 and 3,978.06

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Solution

The fourth proportional to 7,674.72, 11,518.36 and 3,978.06 is: 5,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.72 : 11,518.36 = 3,978.06 : x
  2. Step 2: Convert to fraction form
    7,674.72/11,518.36 = 3,978.06/x
  3. Step 3: Cross multiply
    7,674.72x = 11,518.36 × 3,978.06
  4. Step 4: Simplify right side
    7,674.72x = 45,820,727.18
  5. Step 5: Solve for x
    x = 45,820,727.18/7,674.72
  6. Step 6: Final answer
    x = 5,970.35

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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.