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Finding the Fourth Proportional to 28,550, 42,825.54 and 7,774.04

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Solution

The fourth proportional to 28,550, 42,825.54 and 7,774.04 is: 11,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,550 : 42,825.54 = 7,774.04 : x
  2. Step 2: Convert to fraction form
    28,550/42,825.54 = 7,774.04/x
  3. Step 3: Cross multiply
    28,550x = 42,825.54 × 7,774.04
  4. Step 4: Simplify right side
    28,550x = 332,927,460.98
  5. Step 5: Solve for x
    x = 332,927,460.98/28,550
  6. Step 6: Final answer
    x = 11,661.21

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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.