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Finding the Fourth Proportional to 3,527.56, 4,868.14 and 2,129.50

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Solution

The fourth proportional to 3,527.56, 4,868.14 and 2,129.50 is: 2,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.56 : 4,868.14 = 2,129.50 : x
  2. Step 2: Convert to fraction form
    3,527.56/4,868.14 = 2,129.50/x
  3. Step 3: Cross multiply
    3,527.56x = 4,868.14 × 2,129.50
  4. Step 4: Simplify right side
    3,527.56x = 10,366,704.13
  5. Step 5: Solve for x
    x = 10,366,704.13/3,527.56
  6. Step 6: Final answer
    x = 2,938.77

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1.5x scale

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.