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Finding the Fourth Proportional to 12,989.16, 19,444.86 and 8,362.44

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Solution

The fourth proportional to 12,989.16, 19,444.86 and 8,362.44 is: 12,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.16 : 19,444.86 = 8,362.44 : x
  2. Step 2: Convert to fraction form
    12,989.16/19,444.86 = 8,362.44/x
  3. Step 3: Cross multiply
    12,989.16x = 19,444.86 × 8,362.44
  4. Step 4: Simplify right side
    12,989.16x = 162,606,475.06
  5. Step 5: Solve for x
    x = 162,606,475.06/12,989.16
  6. Step 6: Final answer
    x = 12,518.63

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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.