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Finding the Fourth Proportional to 10,720.63, 14,783.64 and 8,266.41

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Solution

The fourth proportional to 10,720.63, 14,783.64 and 8,266.41 is: 11,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.63 : 14,783.64 = 8,266.41 : x
  2. Step 2: Convert to fraction form
    10,720.63/14,783.64 = 8,266.41/x
  3. Step 3: Cross multiply
    10,720.63x = 14,783.64 × 8,266.41
  4. Step 4: Simplify right side
    10,720.63x = 122,207,629.53
  5. Step 5: Solve for x
    x = 122,207,629.53/10,720.63
  6. Step 6: Final answer
    x = 11,399.30

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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.