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Finding the Fourth Proportional to 4,605, 6,908.56 and 1,485.28

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Solution

The fourth proportional to 4,605, 6,908.56 and 1,485.28 is: 2,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605 : 6,908.56 = 1,485.28 : x
  2. Step 2: Convert to fraction form
    4,605/6,908.56 = 1,485.28/x
  3. Step 3: Cross multiply
    4,605x = 6,908.56 × 1,485.28
  4. Step 4: Simplify right side
    4,605x = 10,261,146.00
  5. Step 5: Solve for x
    x = 10,261,146.00/4,605
  6. Step 6: Final answer
    x = 2,228.26

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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.