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Finding the Fourth Proportional to 1,968.80, 2,953.20 and 1,536.32

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Solution

The fourth proportional to 1,968.80, 2,953.20 and 1,536.32 is: 2,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.80 : 2,953.20 = 1,536.32 : x
  2. Step 2: Convert to fraction form
    1,968.80/2,953.20 = 1,536.32/x
  3. Step 3: Cross multiply
    1,968.80x = 2,953.20 × 1,536.32
  4. Step 4: Simplify right side
    1,968.80x = 4,537,060.22
  5. Step 5: Solve for x
    x = 4,537,060.22/1,968.80
  6. Step 6: Final answer
    x = 2,304.48

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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.