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Finding the Fourth Proportional to 4,747, 7,120.70 and 1,460.23

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Solution

The fourth proportional to 4,747, 7,120.70 and 1,460.23 is: 2,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747 : 7,120.70 = 1,460.23 : x
  2. Step 2: Convert to fraction form
    4,747/7,120.70 = 1,460.23/x
  3. Step 3: Cross multiply
    4,747x = 7,120.70 × 1,460.23
  4. Step 4: Simplify right side
    4,747x = 10,397,859.76
  5. Step 5: Solve for x
    x = 10,397,859.76/4,747
  6. Step 6: Final answer
    x = 2,190.41

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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.