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Finding the Fourth Proportional to 14,480.28, 21,695.40 and 7,911

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Solution

The fourth proportional to 14,480.28, 21,695.40 and 7,911 is: 11,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.28 : 21,695.40 = 7,911 : x
  2. Step 2: Convert to fraction form
    14,480.28/21,695.40 = 7,911/x
  3. Step 3: Cross multiply
    14,480.28x = 21,695.40 × 7,911
  4. Step 4: Simplify right side
    14,480.28x = 171,632,309.40
  5. Step 5: Solve for x
    x = 171,632,309.40/14,480.28
  6. Step 6: Final answer
    x = 11,852.83

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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.