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Finding the Fourth Proportional to 9,720.36, 14,463.84 and 9,687.56

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Solution

The fourth proportional to 9,720.36, 14,463.84 and 9,687.56 is: 14,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.36 : 14,463.84 = 9,687.56 : x
  2. Step 2: Convert to fraction form
    9,720.36/14,463.84 = 9,687.56/x
  3. Step 3: Cross multiply
    9,720.36x = 14,463.84 × 9,687.56
  4. Step 4: Simplify right side
    9,720.36x = 140,119,317.83
  5. Step 5: Solve for x
    x = 140,119,317.83/9,720.36
  6. Step 6: Final answer
    x = 14,415.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.