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Finding the Fourth Proportional to 14,108.14, 19,469.88 and 7,820.11

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Solution

The fourth proportional to 14,108.14, 19,469.88 and 7,820.11 is: 10,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.14 : 19,469.88 = 7,820.11 : x
  2. Step 2: Convert to fraction form
    14,108.14/19,469.88 = 7,820.11/x
  3. Step 3: Cross multiply
    14,108.14x = 19,469.88 × 7,820.11
  4. Step 4: Simplify right side
    14,108.14x = 152,256,603.29
  5. Step 5: Solve for x
    x = 152,256,603.29/14,108.14
  6. Step 6: Final answer
    x = 10,792.11

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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.