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Finding the Fourth Proportional to 5,792, 8,688 and 1,896.32

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Solution

The fourth proportional to 5,792, 8,688 and 1,896.32 is: 2,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792 : 8,688 = 1,896.32 : x
  2. Step 2: Convert to fraction form
    5,792/8,688 = 1,896.32/x
  3. Step 3: Cross multiply
    5,792x = 8,688 × 1,896.32
  4. Step 4: Simplify right side
    5,792x = 16,475,228.16
  5. Step 5: Solve for x
    x = 16,475,228.16/5,792
  6. Step 6: Final answer
    x = 2,844.48

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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.