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Finding the Fourth Proportional to 10,028.32, 15,047 and 4,485.08

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Solution

The fourth proportional to 10,028.32, 15,047 and 4,485.08 is: 6,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.32 : 15,047 = 4,485.08 : x
  2. Step 2: Convert to fraction form
    10,028.32/15,047 = 4,485.08/x
  3. Step 3: Cross multiply
    10,028.32x = 15,047 × 4,485.08
  4. Step 4: Simplify right side
    10,028.32x = 67,486,998.76
  5. Step 5: Solve for x
    x = 67,486,998.76/10,028.32
  6. Step 6: Final answer
    x = 6,729.64

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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.