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Finding the Fourth Proportional to 17,528, 26,291.04 and 7,148.48

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Solution

The fourth proportional to 17,528, 26,291.04 and 7,148.48 is: 10,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528 : 26,291.04 = 7,148.48 : x
  2. Step 2: Convert to fraction form
    17,528/26,291.04 = 7,148.48/x
  3. Step 3: Cross multiply
    17,528x = 26,291.04 × 7,148.48
  4. Step 4: Simplify right side
    17,528x = 187,940,973.62
  5. Step 5: Solve for x
    x = 187,940,973.62/17,528
  6. Step 6: Final answer
    x = 10,722.33

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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.