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Finding the Fourth Proportional to 3,529, 4,870.14 and 2,289.16

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Solution

The fourth proportional to 3,529, 4,870.14 and 2,289.16 is: 3,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529 : 4,870.14 = 2,289.16 : x
  2. Step 2: Convert to fraction form
    3,529/4,870.14 = 2,289.16/x
  3. Step 3: Cross multiply
    3,529x = 4,870.14 × 2,289.16
  4. Step 4: Simplify right side
    3,529x = 11,148,529.68
  5. Step 5: Solve for x
    x = 11,148,529.68/3,529
  6. Step 6: Final answer
    x = 3,159.12

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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.