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Finding the Fourth Proportional to 1,824, 2,521.92 and 1,742.40

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Solution

The fourth proportional to 1,824, 2,521.92 and 1,742.40 is: 2,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824 : 2,521.92 = 1,742.40 : x
  2. Step 2: Convert to fraction form
    1,824/2,521.92 = 1,742.40/x
  3. Step 3: Cross multiply
    1,824x = 2,521.92 × 1,742.40
  4. Step 4: Simplify right side
    1,824x = 4,394,193.41
  5. Step 5: Solve for x
    x = 4,394,193.41/1,824
  6. Step 6: Final answer
    x = 2,409.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.