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Finding the Fourth Proportional to 9,183, 12,675.54 and 5,406.12

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Solution

The fourth proportional to 9,183, 12,675.54 and 5,406.12 is: 7,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183 : 12,675.54 = 5,406.12 : x
  2. Step 2: Convert to fraction form
    9,183/12,675.54 = 5,406.12/x
  3. Step 3: Cross multiply
    9,183x = 12,675.54 × 5,406.12
  4. Step 4: Simplify right side
    9,183x = 68,525,490.30
  5. Step 5: Solve for x
    x = 68,525,490.30/9,183
  6. Step 6: Final answer
    x = 7,462.21

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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.