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Finding the Fourth Proportional to 2,391.56, 3,585.94 and 929.00

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Solution

The fourth proportional to 2,391.56, 3,585.94 and 929.00 is: 1,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.56 : 3,585.94 = 929.00 : x
  2. Step 2: Convert to fraction form
    2,391.56/3,585.94 = 929.00/x
  3. Step 3: Cross multiply
    2,391.56x = 3,585.94 × 929.00
  4. Step 4: Simplify right side
    2,391.56x = 3,331,344.90
  5. Step 5: Solve for x
    x = 3,331,344.90/2,391.56
  6. Step 6: Final answer
    x = 1,392.96

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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.