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Finding the Fourth Proportional to 7,319.12, 10,978.69 and 3,426.26

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Solution

The fourth proportional to 7,319.12, 10,978.69 and 3,426.26 is: 5,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.12 : 10,978.69 = 3,426.26 : x
  2. Step 2: Convert to fraction form
    7,319.12/10,978.69 = 3,426.26/x
  3. Step 3: Cross multiply
    7,319.12x = 10,978.69 × 3,426.26
  4. Step 4: Simplify right side
    7,319.12x = 37,615,846.40
  5. Step 5: Solve for x
    x = 37,615,846.40/7,319.12
  6. Step 6: Final answer
    x = 5,139.39

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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.