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Finding the Fourth Proportional to 12,889.68, 19,334.34 and 3,655.68

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Solution

The fourth proportional to 12,889.68, 19,334.34 and 3,655.68 is: 5,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.68 : 19,334.34 = 3,655.68 : x
  2. Step 2: Convert to fraction form
    12,889.68/19,334.34 = 3,655.68/x
  3. Step 3: Cross multiply
    12,889.68x = 19,334.34 × 3,655.68
  4. Step 4: Simplify right side
    12,889.68x = 70,680,160.05
  5. Step 5: Solve for x
    x = 70,680,160.05/12,889.68
  6. Step 6: Final answer
    x = 5,483.47

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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.