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Finding the Fourth Proportional to 7,033.84, 9,706.65 and 3,890

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Solution

The fourth proportional to 7,033.84, 9,706.65 and 3,890 is: 5,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.84 : 9,706.65 = 3,890 : x
  2. Step 2: Convert to fraction form
    7,033.84/9,706.65 = 3,890/x
  3. Step 3: Cross multiply
    7,033.84x = 9,706.65 × 3,890
  4. Step 4: Simplify right side
    7,033.84x = 37,758,868.50
  5. Step 5: Solve for x
    x = 37,758,868.50/7,033.84
  6. Step 6: Final answer
    x = 5,368.17

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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.