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Finding the Fourth Proportional to 28,571.60, 42,857.40 and 9,857

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Solution

The fourth proportional to 28,571.60, 42,857.40 and 9,857 is: 14,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,571.60 : 42,857.40 = 9,857 : x
  2. Step 2: Convert to fraction form
    28,571.60/42,857.40 = 9,857/x
  3. Step 3: Cross multiply
    28,571.60x = 42,857.40 × 9,857
  4. Step 4: Simplify right side
    28,571.60x = 422,445,391.80
  5. Step 5: Solve for x
    x = 422,445,391.80/28,571.60
  6. Step 6: Final answer
    x = 14,785.50

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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.