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Finding the Fourth Proportional to 9,959, 14,938.50 and 3,033.50

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Solution

The fourth proportional to 9,959, 14,938.50 and 3,033.50 is: 4,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959 : 14,938.50 = 3,033.50 : x
  2. Step 2: Convert to fraction form
    9,959/14,938.50 = 3,033.50/x
  3. Step 3: Cross multiply
    9,959x = 14,938.50 × 3,033.50
  4. Step 4: Simplify right side
    9,959x = 45,315,939.75
  5. Step 5: Solve for x
    x = 45,315,939.75/9,959
  6. Step 6: Final answer
    x = 4,550.25

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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.