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Finding the Fourth Proportional to 4,871.20, 7,271.22 and 4,288

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Solution

The fourth proportional to 4,871.20, 7,271.22 and 4,288 is: 6,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.20 : 7,271.22 = 4,288 : x
  2. Step 2: Convert to fraction form
    4,871.20/7,271.22 = 4,288/x
  3. Step 3: Cross multiply
    4,871.20x = 7,271.22 × 4,288
  4. Step 4: Simplify right side
    4,871.20x = 31,178,991.36
  5. Step 5: Solve for x
    x = 31,178,991.36/4,871.20
  6. Step 6: Final answer
    x = 6,400.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.