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Finding the Fourth Proportional to 9,408.95, 12,984.06 and 5,159.79

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Solution

The fourth proportional to 9,408.95, 12,984.06 and 5,159.79 is: 7,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.95 : 12,984.06 = 5,159.79 : x
  2. Step 2: Convert to fraction form
    9,408.95/12,984.06 = 5,159.79/x
  3. Step 3: Cross multiply
    9,408.95x = 12,984.06 × 5,159.79
  4. Step 4: Simplify right side
    9,408.95x = 66,995,022.95
  5. Step 5: Solve for x
    x = 66,995,022.95/9,408.95
  6. Step 6: Final answer
    x = 7,120.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.