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Finding the Fourth Proportional to 4,306, 6,448.60 and 2,451.49

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Solution

The fourth proportional to 4,306, 6,448.60 and 2,451.49 is: 3,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 6,448.60 = 2,451.49 : x
  2. Step 2: Convert to fraction form
    4,306/6,448.60 = 2,451.49/x
  3. Step 3: Cross multiply
    4,306x = 6,448.60 × 2,451.49
  4. Step 4: Simplify right side
    4,306x = 15,808,678.41
  5. Step 5: Solve for x
    x = 15,808,678.41/4,306
  6. Step 6: Final answer
    x = 3,671.31

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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.