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Finding the Fourth Proportional to 4,315, 6,468.01 and 2,928.46

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Solution

The fourth proportional to 4,315, 6,468.01 and 2,928.46 is: 4,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315 : 6,468.01 = 2,928.46 : x
  2. Step 2: Convert to fraction form
    4,315/6,468.01 = 2,928.46/x
  3. Step 3: Cross multiply
    4,315x = 6,468.01 × 2,928.46
  4. Step 4: Simplify right side
    4,315x = 18,941,308.56
  5. Step 5: Solve for x
    x = 18,941,308.56/4,315
  6. Step 6: Final answer
    x = 4,389.64

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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.