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Finding the Fourth Proportional to 6,988.95, 9,647 and 4,477.81

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Solution

The fourth proportional to 6,988.95, 9,647 and 4,477.81 is: 6,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.95 : 9,647 = 4,477.81 : x
  2. Step 2: Convert to fraction form
    6,988.95/9,647 = 4,477.81/x
  3. Step 3: Cross multiply
    6,988.95x = 9,647 × 4,477.81
  4. Step 4: Simplify right side
    6,988.95x = 43,197,433.07
  5. Step 5: Solve for x
    x = 43,197,433.07/6,988.95
  6. Step 6: Final answer
    x = 6,180.82

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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.