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Finding the Fourth Proportional to 13,511.64, 18,646.08 and 9,539.64

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Solution

The fourth proportional to 13,511.64, 18,646.08 and 9,539.64 is: 13,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.64 : 18,646.08 = 9,539.64 : x
  2. Step 2: Convert to fraction form
    13,511.64/18,646.08 = 9,539.64/x
  3. Step 3: Cross multiply
    13,511.64x = 18,646.08 × 9,539.64
  4. Step 4: Simplify right side
    13,511.64x = 177,876,890.61
  5. Step 5: Solve for x
    x = 177,876,890.61/13,511.64
  6. Step 6: Final answer
    x = 13,164.72

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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.