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Finding the Fourth Proportional to 9,938, 14,907 and 3,012.50

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Solution

The fourth proportional to 9,938, 14,907 and 3,012.50 is: 4,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938 : 14,907 = 3,012.50 : x
  2. Step 2: Convert to fraction form
    9,938/14,907 = 3,012.50/x
  3. Step 3: Cross multiply
    9,938x = 14,907 × 3,012.50
  4. Step 4: Simplify right side
    9,938x = 44,907,337.50
  5. Step 5: Solve for x
    x = 44,907,337.50/9,938
  6. Step 6: Final answer
    x = 4,518.75

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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.