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Finding the Fourth Proportional to 13,677.58, 20,511.51 and 6,657.58

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Solution

The fourth proportional to 13,677.58, 20,511.51 and 6,657.58 is: 9,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.58 : 20,511.51 = 6,657.58 : x
  2. Step 2: Convert to fraction form
    13,677.58/20,511.51 = 6,657.58/x
  3. Step 3: Cross multiply
    13,677.58x = 20,511.51 × 6,657.58
  4. Step 4: Simplify right side
    13,677.58x = 136,557,018.75
  5. Step 5: Solve for x
    x = 136,557,018.75/13,677.58
  6. Step 6: Final answer
    x = 9,984.00

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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.