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Finding the Fourth Proportional to 28,747.04, 43,106.58 and 10,978.47

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Solution

The fourth proportional to 28,747.04, 43,106.58 and 10,978.47 is: 16,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,747.04 : 43,106.58 = 10,978.47 : x
  2. Step 2: Convert to fraction form
    28,747.04/43,106.58 = 10,978.47/x
  3. Step 3: Cross multiply
    28,747.04x = 43,106.58 × 10,978.47
  4. Step 4: Simplify right side
    28,747.04x = 473,244,295.33
  5. Step 5: Solve for x
    x = 473,244,295.33/28,747.04
  6. Step 6: Final answer
    x = 16,462.37

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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.