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Finding the Fourth Proportional to 20,867.00, 31,312.80 and 7,728.60

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Solution

The fourth proportional to 20,867.00, 31,312.80 and 7,728.60 is: 11,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.00 : 31,312.80 = 7,728.60 : x
  2. Step 2: Convert to fraction form
    20,867.00/31,312.80 = 7,728.60/x
  3. Step 3: Cross multiply
    20,867.00x = 31,312.80 × 7,728.60
  4. Step 4: Simplify right side
    20,867.00x = 242,004,106.08
  5. Step 5: Solve for x
    x = 242,004,106.08/20,867.00
  6. Step 6: Final answer
    x = 11,597.45

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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.