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Finding the Fourth Proportional to 7,035.42, 9,707.74 and 3,891

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Solution

The fourth proportional to 7,035.42, 9,707.74 and 3,891 is: 5,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.42 : 9,707.74 = 3,891 : x
  2. Step 2: Convert to fraction form
    7,035.42/9,707.74 = 3,891/x
  3. Step 3: Cross multiply
    7,035.42x = 9,707.74 × 3,891
  4. Step 4: Simplify right side
    7,035.42x = 37,772,816.34
  5. Step 5: Solve for x
    x = 37,772,816.34/7,035.42
  6. Step 6: Final answer
    x = 5,368.95

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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.