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Finding the Fourth Proportional to 8,235.86, 12,353.96 and 2,971.29

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Solution

The fourth proportional to 8,235.86, 12,353.96 and 2,971.29 is: 4,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.86 : 12,353.96 = 2,971.29 : x
  2. Step 2: Convert to fraction form
    8,235.86/12,353.96 = 2,971.29/x
  3. Step 3: Cross multiply
    8,235.86x = 12,353.96 × 2,971.29
  4. Step 4: Simplify right side
    8,235.86x = 36,707,182.95
  5. Step 5: Solve for x
    x = 36,707,182.95/8,235.86
  6. Step 6: Final answer
    x = 4,457.00

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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.