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Finding the Fourth Proportional to 3,776, 5,664.32 and 1,040

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Solution

The fourth proportional to 3,776, 5,664.32 and 1,040 is: 1,560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776 : 5,664.32 = 1,040 : x
  2. Step 2: Convert to fraction form
    3,776/5,664.32 = 1,040/x
  3. Step 3: Cross multiply
    3,776x = 5,664.32 × 1,040
  4. Step 4: Simplify right side
    3,776x = 5,890,892.80
  5. Step 5: Solve for x
    x = 5,890,892.80/3,776
  6. Step 6: Final answer
    x = 1,560.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.