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Finding the Fourth Proportional to 11,907.50, 17,859.88 and 3,143.10

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Solution

The fourth proportional to 11,907.50, 17,859.88 and 3,143.10 is: 4,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.50 : 17,859.88 = 3,143.10 : x
  2. Step 2: Convert to fraction form
    11,907.50/17,859.88 = 3,143.10/x
  3. Step 3: Cross multiply
    11,907.50x = 17,859.88 × 3,143.10
  4. Step 4: Simplify right side
    11,907.50x = 56,135,373.11
  5. Step 5: Solve for x
    x = 56,135,373.11/11,907.50
  6. Step 6: Final answer
    x = 4,714.29

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Double scale
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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.