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Finding the Fourth Proportional to 28,543.75, 42,815.76 and 10,075.75

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Solution

The fourth proportional to 28,543.75, 42,815.76 and 10,075.75 is: 15,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,543.75 : 42,815.76 = 10,075.75 : x
  2. Step 2: Convert to fraction form
    28,543.75/42,815.76 = 10,075.75/x
  3. Step 3: Cross multiply
    28,543.75x = 42,815.76 × 10,075.75
  4. Step 4: Simplify right side
    28,543.75x = 431,400,893.82
  5. Step 5: Solve for x
    x = 431,400,893.82/28,543.75
  6. Step 6: Final answer
    x = 15,113.67

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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.