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Finding the Fourth Proportional to 9,812.70, 14,719.71 and 3,243.50

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Solution

The fourth proportional to 9,812.70, 14,719.71 and 3,243.50 is: 4,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.70 : 14,719.71 = 3,243.50 : x
  2. Step 2: Convert to fraction form
    9,812.70/14,719.71 = 3,243.50/x
  3. Step 3: Cross multiply
    9,812.70x = 14,719.71 × 3,243.50
  4. Step 4: Simplify right side
    9,812.70x = 47,743,305.79
  5. Step 5: Solve for x
    x = 47,743,305.79/9,812.70
  6. Step 6: Final answer
    x = 4,865.46

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1.5x scale

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.