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Finding the Fourth Proportional to 7,038.70, 9,713.71 and 3,894.89

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Solution

The fourth proportional to 7,038.70, 9,713.71 and 3,894.89 is: 5,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.70 : 9,713.71 = 3,894.89 : x
  2. Step 2: Convert to fraction form
    7,038.70/9,713.71 = 3,894.89/x
  3. Step 3: Cross multiply
    7,038.70x = 9,713.71 × 3,894.89
  4. Step 4: Simplify right side
    7,038.70x = 37,833,853.84
  5. Step 5: Solve for x
    x = 37,833,853.84/7,038.70
  6. Step 6: Final answer
    x = 5,375.12

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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.