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Finding the Fourth Proportional to 4,871.40, 7,308.24 and 1,408.56

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Solution

The fourth proportional to 4,871.40, 7,308.24 and 1,408.56 is: 2,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.40 : 7,308.24 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    4,871.40/7,308.24 = 1,408.56/x
  3. Step 3: Cross multiply
    4,871.40x = 7,308.24 × 1,408.56
  4. Step 4: Simplify right side
    4,871.40x = 10,294,094.53
  5. Step 5: Solve for x
    x = 10,294,094.53/4,871.40
  6. Step 6: Final answer
    x = 2,113.17

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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.