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Finding the Fourth Proportional to 10,912.50, 16,368.75 and 4,756.50

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Solution

The fourth proportional to 10,912.50, 16,368.75 and 4,756.50 is: 7,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.50 : 16,368.75 = 4,756.50 : x
  2. Step 2: Convert to fraction form
    10,912.50/16,368.75 = 4,756.50/x
  3. Step 3: Cross multiply
    10,912.50x = 16,368.75 × 4,756.50
  4. Step 4: Simplify right side
    10,912.50x = 77,857,959.38
  5. Step 5: Solve for x
    x = 77,857,959.38/10,912.50
  6. Step 6: Final answer
    x = 7,134.75

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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.