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Finding the Fourth Proportional to 28,575.87, 42,880 and 15,427.95

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Solution

The fourth proportional to 28,575.87, 42,880 and 15,427.95 is: 23,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,575.87 : 42,880 = 15,427.95 : x
  2. Step 2: Convert to fraction form
    28,575.87/42,880 = 15,427.95/x
  3. Step 3: Cross multiply
    28,575.87x = 42,880 × 15,427.95
  4. Step 4: Simplify right side
    28,575.87x = 661,550,496
  5. Step 5: Solve for x
    x = 661,550,496/28,575.87
  6. Step 6: Final answer
    x = 23,150.67

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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.