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Finding the Fourth Proportional to 5,875, 8,107.50 and 3,391

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Solution

The fourth proportional to 5,875, 8,107.50 and 3,391 is: 4,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875 : 8,107.50 = 3,391 : x
  2. Step 2: Convert to fraction form
    5,875/8,107.50 = 3,391/x
  3. Step 3: Cross multiply
    5,875x = 8,107.50 × 3,391
  4. Step 4: Simplify right side
    5,875x = 27,492,532.50
  5. Step 5: Solve for x
    x = 27,492,532.50/5,875
  6. Step 6: Final answer
    x = 4,679.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.