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Finding the Fourth Proportional to 7,038.87, 9,713.56 and 3,895.08

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Solution

The fourth proportional to 7,038.87, 9,713.56 and 3,895.08 is: 5,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.87 : 9,713.56 = 3,895.08 : x
  2. Step 2: Convert to fraction form
    7,038.87/9,713.56 = 3,895.08/x
  3. Step 3: Cross multiply
    7,038.87x = 9,713.56 × 3,895.08
  4. Step 4: Simplify right side
    7,038.87x = 37,835,093.28
  5. Step 5: Solve for x
    x = 37,835,093.28/7,038.87
  6. Step 6: Final answer
    x = 5,375.17

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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.