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Finding the Fourth Proportional to 10,907.80, 16,340.10 and 6,512.20

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Solution

The fourth proportional to 10,907.80, 16,340.10 and 6,512.20 is: 9,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.80 : 16,340.10 = 6,512.20 : x
  2. Step 2: Convert to fraction form
    10,907.80/16,340.10 = 6,512.20/x
  3. Step 3: Cross multiply
    10,907.80x = 16,340.10 × 6,512.20
  4. Step 4: Simplify right side
    10,907.80x = 106,409,999.22
  5. Step 5: Solve for x
    x = 106,409,999.22/10,907.80
  6. Step 6: Final answer
    x = 9,755.40

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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.