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Finding the Fourth Proportional to 28,484.66, 42,729.42 and 7,427.50

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Solution

The fourth proportional to 28,484.66, 42,729.42 and 7,427.50 is: 11,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,484.66 : 42,729.42 = 7,427.50 : x
  2. Step 2: Convert to fraction form
    28,484.66/42,729.42 = 7,427.50/x
  3. Step 3: Cross multiply
    28,484.66x = 42,729.42 × 7,427.50
  4. Step 4: Simplify right side
    28,484.66x = 317,372,688.08
  5. Step 5: Solve for x
    x = 317,372,688.08/28,484.66
  6. Step 6: Final answer
    x = 11,141.88

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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.