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Finding the Fourth Proportional to 28,627.84, 42,941.28 and 7,850.56

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Solution

The fourth proportional to 28,627.84, 42,941.28 and 7,850.56 is: 11,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,627.84 : 42,941.28 = 7,850.56 : x
  2. Step 2: Convert to fraction form
    28,627.84/42,941.28 = 7,850.56/x
  3. Step 3: Cross multiply
    28,627.84x = 42,941.28 × 7,850.56
  4. Step 4: Simplify right side
    28,627.84x = 337,113,095.12
  5. Step 5: Solve for x
    x = 337,113,095.12/28,627.84
  6. Step 6: Final answer
    x = 11,775.71

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1.5x scale

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.