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Finding the Fourth Proportional to 4,221.86, 6,332.88 and 1,448.51

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Solution

The fourth proportional to 4,221.86, 6,332.88 and 1,448.51 is: 2,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.86 : 6,332.88 = 1,448.51 : x
  2. Step 2: Convert to fraction form
    4,221.86/6,332.88 = 1,448.51/x
  3. Step 3: Cross multiply
    4,221.86x = 6,332.88 × 1,448.51
  4. Step 4: Simplify right side
    4,221.86x = 9,173,240.01
  5. Step 5: Solve for x
    x = 9,173,240.01/4,221.86
  6. Step 6: Final answer
    x = 2,172.80

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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.