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Finding the Fourth Proportional to 13,810.70, 20,728.91 and 9,865.80

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Solution

The fourth proportional to 13,810.70, 20,728.91 and 9,865.80 is: 14,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.70 : 20,728.91 = 9,865.80 : x
  2. Step 2: Convert to fraction form
    13,810.70/20,728.91 = 9,865.80/x
  3. Step 3: Cross multiply
    13,810.70x = 20,728.91 × 9,865.80
  4. Step 4: Simplify right side
    13,810.70x = 204,507,304.94
  5. Step 5: Solve for x
    x = 204,507,304.94/13,810.70
  6. Step 6: Final answer
    x = 14,807.89

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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.