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Finding the Fourth Proportional to 4,871.20, 7,308 and 1,408.80

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Solution

The fourth proportional to 4,871.20, 7,308 and 1,408.80 is: 2,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.20 : 7,308 = 1,408.80 : x
  2. Step 2: Convert to fraction form
    4,871.20/7,308 = 1,408.80/x
  3. Step 3: Cross multiply
    4,871.20x = 7,308 × 1,408.80
  4. Step 4: Simplify right side
    4,871.20x = 10,295,510.40
  5. Step 5: Solve for x
    x = 10,295,510.40/4,871.20
  6. Step 6: Final answer
    x = 2,113.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.