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Finding the Fourth Proportional to 5,148.21, 7,729.59 and 4,913.31

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Solution

The fourth proportional to 5,148.21, 7,729.59 and 4,913.31 is: 7,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.21 : 7,729.59 = 4,913.31 : x
  2. Step 2: Convert to fraction form
    5,148.21/7,729.59 = 4,913.31/x
  3. Step 3: Cross multiply
    5,148.21x = 7,729.59 × 4,913.31
  4. Step 4: Simplify right side
    5,148.21x = 37,977,871.84
  5. Step 5: Solve for x
    x = 37,977,871.84/5,148.21
  6. Step 6: Final answer
    x = 7,376.91

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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.