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Finding the Fourth Proportional to 1,469.48, 2,204.88 and 1,407.20

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Solution

The fourth proportional to 1,469.48, 2,204.88 and 1,407.20 is: 2,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.48 : 2,204.88 = 1,407.20 : x
  2. Step 2: Convert to fraction form
    1,469.48/2,204.88 = 1,407.20/x
  3. Step 3: Cross multiply
    1,469.48x = 2,204.88 × 1,407.20
  4. Step 4: Simplify right side
    1,469.48x = 3,102,707.14
  5. Step 5: Solve for x
    x = 3,102,707.14/1,469.48
  6. Step 6: Final answer
    x = 2,111.43

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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.