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Finding the Fourth Proportional to 9,378, 14,071.86 and 4,761

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Solution

The fourth proportional to 9,378, 14,071.86 and 4,761 is: 7,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 14,071.86 = 4,761 : x
  2. Step 2: Convert to fraction form
    9,378/14,071.86 = 4,761/x
  3. Step 3: Cross multiply
    9,378x = 14,071.86 × 4,761
  4. Step 4: Simplify right side
    9,378x = 66,996,125.46
  5. Step 5: Solve for x
    x = 66,996,125.46/9,378
  6. Step 6: Final answer
    x = 7,143.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.