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Finding the Fourth Proportional to 5,807, 8,706.54 and 1,910.84

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Solution

The fourth proportional to 5,807, 8,706.54 and 1,910.84 is: 2,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807 : 8,706.54 = 1,910.84 : x
  2. Step 2: Convert to fraction form
    5,807/8,706.54 = 1,910.84/x
  3. Step 3: Cross multiply
    5,807x = 8,706.54 × 1,910.84
  4. Step 4: Simplify right side
    5,807x = 16,636,804.89
  5. Step 5: Solve for x
    x = 16,636,804.89/5,807
  6. Step 6: Final answer
    x = 2,864.96

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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.