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Finding the Fourth Proportional to 5,431.36, 8,101 and 5,267.32

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Solution

The fourth proportional to 5,431.36, 8,101 and 5,267.32 is: 7,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.36 : 8,101 = 5,267.32 : x
  2. Step 2: Convert to fraction form
    5,431.36/8,101 = 5,267.32/x
  3. Step 3: Cross multiply
    5,431.36x = 8,101 × 5,267.32
  4. Step 4: Simplify right side
    5,431.36x = 42,670,559.32
  5. Step 5: Solve for x
    x = 42,670,559.32/5,431.36
  6. Step 6: Final answer
    x = 7,856.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.