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Finding the Fourth Proportional to 8,477.73, 12,703.69 and 4,311.50

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Solution

The fourth proportional to 8,477.73, 12,703.69 and 4,311.50 is: 6,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.73 : 12,703.69 = 4,311.50 : x
  2. Step 2: Convert to fraction form
    8,477.73/12,703.69 = 4,311.50/x
  3. Step 3: Cross multiply
    8,477.73x = 12,703.69 × 4,311.50
  4. Step 4: Simplify right side
    8,477.73x = 54,771,948.94
  5. Step 5: Solve for x
    x = 54,771,948.94/8,477.73
  6. Step 6: Final answer
    x = 6,460.68

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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.