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Finding the Fourth Proportional to 11,887.70, 17,824.80 and 4,492.40

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Solution

The fourth proportional to 11,887.70, 17,824.80 and 4,492.40 is: 6,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.70 : 17,824.80 = 4,492.40 : x
  2. Step 2: Convert to fraction form
    11,887.70/17,824.80 = 4,492.40/x
  3. Step 3: Cross multiply
    11,887.70x = 17,824.80 × 4,492.40
  4. Step 4: Simplify right side
    11,887.70x = 80,076,131.52
  5. Step 5: Solve for x
    x = 80,076,131.52/11,887.70
  6. Step 6: Final answer
    x = 6,736.05

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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.