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Finding the Fourth Proportional to 7,800.84, 11,705.76 and 3,905.28

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Solution

The fourth proportional to 7,800.84, 11,705.76 and 3,905.28 is: 5,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.84 : 11,705.76 = 3,905.28 : x
  2. Step 2: Convert to fraction form
    7,800.84/11,705.76 = 3,905.28/x
  3. Step 3: Cross multiply
    7,800.84x = 11,705.76 × 3,905.28
  4. Step 4: Simplify right side
    7,800.84x = 45,714,270.41
  5. Step 5: Solve for x
    x = 45,714,270.41/7,800.84
  6. Step 6: Final answer
    x = 5,860.17

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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.