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Finding the Fourth Proportional to 5,408.07, 8,112.10 and 1,304.07

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Solution

The fourth proportional to 5,408.07, 8,112.10 and 1,304.07 is: 1,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.07 : 8,112.10 = 1,304.07 : x
  2. Step 2: Convert to fraction form
    5,408.07/8,112.10 = 1,304.07/x
  3. Step 3: Cross multiply
    5,408.07x = 8,112.10 × 1,304.07
  4. Step 4: Simplify right side
    5,408.07x = 10,578,746.25
  5. Step 5: Solve for x
    x = 10,578,746.25/5,408.07
  6. Step 6: Final answer
    x = 1,956.10

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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.