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Finding the Fourth Proportional to 3,529, 4,870.02 and 1,957.20

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Solution

The fourth proportional to 3,529, 4,870.02 and 1,957.20 is: 2,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529 : 4,870.02 = 1,957.20 : x
  2. Step 2: Convert to fraction form
    3,529/4,870.02 = 1,957.20/x
  3. Step 3: Cross multiply
    3,529x = 4,870.02 × 1,957.20
  4. Step 4: Simplify right side
    3,529x = 9,531,603.14
  5. Step 5: Solve for x
    x = 9,531,603.14/3,529
  6. Step 6: Final answer
    x = 2,700.94

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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.