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Finding the Fourth Proportional to 12,255.42, 16,907.42 and 8,005.01

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Solution

The fourth proportional to 12,255.42, 16,907.42 and 8,005.01 is: 11,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.42 : 16,907.42 = 8,005.01 : x
  2. Step 2: Convert to fraction form
    12,255.42/16,907.42 = 8,005.01/x
  3. Step 3: Cross multiply
    12,255.42x = 16,907.42 × 8,005.01
  4. Step 4: Simplify right side
    12,255.42x = 135,343,941.61
  5. Step 5: Solve for x
    x = 135,343,941.61/12,255.42
  6. Step 6: Final answer
    x = 11,043.60

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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.