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Finding the Fourth Proportional to 7,178, 9,905.64 and 4,694

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Solution

The fourth proportional to 7,178, 9,905.64 and 4,694 is: 6,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178 : 9,905.64 = 4,694 : x
  2. Step 2: Convert to fraction form
    7,178/9,905.64 = 4,694/x
  3. Step 3: Cross multiply
    7,178x = 9,905.64 × 4,694
  4. Step 4: Simplify right side
    7,178x = 46,497,074.16
  5. Step 5: Solve for x
    x = 46,497,074.16/7,178
  6. Step 6: Final answer
    x = 6,477.72

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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.