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Finding the Fourth Proportional to 11,528, 17,304.32 and 4,957.44

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Solution

The fourth proportional to 11,528, 17,304.32 and 4,957.44 is: 7,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528 : 17,304.32 = 4,957.44 : x
  2. Step 2: Convert to fraction form
    11,528/17,304.32 = 4,957.44/x
  3. Step 3: Cross multiply
    11,528x = 17,304.32 × 4,957.44
  4. Step 4: Simplify right side
    11,528x = 85,785,128.14
  5. Step 5: Solve for x
    x = 85,785,128.14/11,528
  6. Step 6: Final answer
    x = 7,441.46

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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.