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Finding the Fourth Proportional to 8,564.81, 12,840.80 and 3,631.28

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Solution

The fourth proportional to 8,564.81, 12,840.80 and 3,631.28 is: 5,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.81 : 12,840.80 = 3,631.28 : x
  2. Step 2: Convert to fraction form
    8,564.81/12,840.80 = 3,631.28/x
  3. Step 3: Cross multiply
    8,564.81x = 12,840.80 × 3,631.28
  4. Step 4: Simplify right side
    8,564.81x = 46,628,457.86
  5. Step 5: Solve for x
    x = 46,628,457.86/8,564.81
  6. Step 6: Final answer
    x = 5,444.19

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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.