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Finding the Fourth Proportional to 10,951.41, 15,114.42 and 6,477.78

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Solution

The fourth proportional to 10,951.41, 15,114.42 and 6,477.78 is: 8,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.41 : 15,114.42 = 6,477.78 : x
  2. Step 2: Convert to fraction form
    10,951.41/15,114.42 = 6,477.78/x
  3. Step 3: Cross multiply
    10,951.41x = 15,114.42 × 6,477.78
  4. Step 4: Simplify right side
    10,951.41x = 97,907,887.59
  5. Step 5: Solve for x
    x = 97,907,887.59/10,951.41
  6. Step 6: Final answer
    x = 8,940.21

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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.