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Finding the Fourth Proportional to 43,309.75, 64,964.63 and 10,477.75

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Solution

The fourth proportional to 43,309.75, 64,964.63 and 10,477.75 is: 15,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309.75 : 64,964.63 = 10,477.75 : x
  2. Step 2: Convert to fraction form
    43,309.75/64,964.63 = 10,477.75/x
  3. Step 3: Cross multiply
    43,309.75x = 64,964.63 × 10,477.75
  4. Step 4: Simplify right side
    43,309.75x = 680,683,151.98
  5. Step 5: Solve for x
    x = 680,683,151.98/43,309.75
  6. Step 6: Final answer
    x = 15,716.63

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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.