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Finding the Fourth Proportional to 8,703, 13,050.72 and 3,156.12

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Solution

The fourth proportional to 8,703, 13,050.72 and 3,156.12 is: 4,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703 : 13,050.72 = 3,156.12 : x
  2. Step 2: Convert to fraction form
    8,703/13,050.72 = 3,156.12/x
  3. Step 3: Cross multiply
    8,703x = 13,050.72 × 3,156.12
  4. Step 4: Simplify right side
    8,703x = 41,189,638.41
  5. Step 5: Solve for x
    x = 41,189,638.41/8,703
  6. Step 6: Final answer
    x = 4,732.81

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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.