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Finding the Fourth Proportional to 11,101.60, 16,628.10 and 9,643.60

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Solution

The fourth proportional to 11,101.60, 16,628.10 and 9,643.60 is: 14,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.60 : 16,628.10 = 9,643.60 : x
  2. Step 2: Convert to fraction form
    11,101.60/16,628.10 = 9,643.60/x
  3. Step 3: Cross multiply
    11,101.60x = 16,628.10 × 9,643.60
  4. Step 4: Simplify right side
    11,101.60x = 160,354,745.16
  5. Step 5: Solve for x
    x = 160,354,745.16/11,101.60
  6. Step 6: Final answer
    x = 14,444.29

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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.