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Finding the Fourth Proportional to 12,657.50, 18,993.10 and 5,267.06

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Solution

The fourth proportional to 12,657.50, 18,993.10 and 5,267.06 is: 7,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.50 : 18,993.10 = 5,267.06 : x
  2. Step 2: Convert to fraction form
    12,657.50/18,993.10 = 5,267.06/x
  3. Step 3: Cross multiply
    12,657.50x = 18,993.10 × 5,267.06
  4. Step 4: Simplify right side
    12,657.50x = 100,037,689.15
  5. Step 5: Solve for x
    x = 100,037,689.15/12,657.50
  6. Step 6: Final answer
    x = 7,903.44

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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.