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Finding the Fourth Proportional to 12,415.80, 17,133.81 and 7,110.63

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Solution

The fourth proportional to 12,415.80, 17,133.81 and 7,110.63 is: 9,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.80 : 17,133.81 = 7,110.63 : x
  2. Step 2: Convert to fraction form
    12,415.80/17,133.81 = 7,110.63/x
  3. Step 3: Cross multiply
    12,415.80x = 17,133.81 × 7,110.63
  4. Step 4: Simplify right side
    12,415.80x = 121,832,183.40
  5. Step 5: Solve for x
    x = 121,832,183.40/12,415.80
  6. Step 6: Final answer
    x = 9,812.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.