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Finding the Fourth Proportional to 7,212.52, 9,953.31 and 4,228.40

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Solution

The fourth proportional to 7,212.52, 9,953.31 and 4,228.40 is: 5,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.52 : 9,953.31 = 4,228.40 : x
  2. Step 2: Convert to fraction form
    7,212.52/9,953.31 = 4,228.40/x
  3. Step 3: Cross multiply
    7,212.52x = 9,953.31 × 4,228.40
  4. Step 4: Simplify right side
    7,212.52x = 42,086,576.00
  5. Step 5: Solve for x
    x = 42,086,576.00/7,212.52
  6. Step 6: Final answer
    x = 5,835.21

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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.