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Finding the Fourth Proportional to 10,610.90, 14,638.95 and 8,090.40

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Solution

The fourth proportional to 10,610.90, 14,638.95 and 8,090.40 is: 11,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.90 : 14,638.95 = 8,090.40 : x
  2. Step 2: Convert to fraction form
    10,610.90/14,638.95 = 8,090.40/x
  3. Step 3: Cross multiply
    10,610.90x = 14,638.95 × 8,090.40
  4. Step 4: Simplify right side
    10,610.90x = 118,434,961.08
  5. Step 5: Solve for x
    x = 118,434,961.08/10,610.90
  6. Step 6: Final answer
    x = 11,161.64

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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.