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Finding the Fourth Proportional to 8,184, 11,294.10 and 4,647.72

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Solution

The fourth proportional to 8,184, 11,294.10 and 4,647.72 is: 6,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 11,294.10 = 4,647.72 : x
  2. Step 2: Convert to fraction form
    8,184/11,294.10 = 4,647.72/x
  3. Step 3: Cross multiply
    8,184x = 11,294.10 × 4,647.72
  4. Step 4: Simplify right side
    8,184x = 52,491,814.45
  5. Step 5: Solve for x
    x = 52,491,814.45/8,184
  6. Step 6: Final answer
    x = 6,413.96

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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.