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Finding the Fourth Proportional to 8,312.32, 12,462.81 and 4,365.82

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Solution

The fourth proportional to 8,312.32, 12,462.81 and 4,365.82 is: 6,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.32 : 12,462.81 = 4,365.82 : x
  2. Step 2: Convert to fraction form
    8,312.32/12,462.81 = 4,365.82/x
  3. Step 3: Cross multiply
    8,312.32x = 12,462.81 × 4,365.82
  4. Step 4: Simplify right side
    8,312.32x = 54,410,385.15
  5. Step 5: Solve for x
    x = 54,410,385.15/8,312.32
  6. Step 6: Final answer
    x = 6,545.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.