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Finding the Fourth Proportional to 8,440.51, 11,636.97 and 5,783.17

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Solution

The fourth proportional to 8,440.51, 11,636.97 and 5,783.17 is: 7,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.51 : 11,636.97 = 5,783.17 : x
  2. Step 2: Convert to fraction form
    8,440.51/11,636.97 = 5,783.17/x
  3. Step 3: Cross multiply
    8,440.51x = 11,636.97 × 5,783.17
  4. Step 4: Simplify right side
    8,440.51x = 67,298,575.79
  5. Step 5: Solve for x
    x = 67,298,575.79/8,440.51
  6. Step 6: Final answer
    x = 7,973.28

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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.