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Finding the Fourth Proportional to 8,429.72, 11,637.06 and 4,892.36

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Solution

The fourth proportional to 8,429.72, 11,637.06 and 4,892.36 is: 6,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.72 : 11,637.06 = 4,892.36 : x
  2. Step 2: Convert to fraction form
    8,429.72/11,637.06 = 4,892.36/x
  3. Step 3: Cross multiply
    8,429.72x = 11,637.06 × 4,892.36
  4. Step 4: Simplify right side
    8,429.72x = 56,932,686.86
  5. Step 5: Solve for x
    x = 56,932,686.86/8,429.72
  6. Step 6: Final answer
    x = 6,753.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.