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Finding the Fourth Proportional to 14,014.40, 20,978.40 and 12,459.20

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Solution

The fourth proportional to 14,014.40, 20,978.40 and 12,459.20 is: 18,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.40 : 20,978.40 = 12,459.20 : x
  2. Step 2: Convert to fraction form
    14,014.40/20,978.40 = 12,459.20/x
  3. Step 3: Cross multiply
    14,014.40x = 20,978.40 × 12,459.20
  4. Step 4: Simplify right side
    14,014.40x = 261,374,081.28
  5. Step 5: Solve for x
    x = 261,374,081.28/14,014.40
  6. Step 6: Final answer
    x = 18,650.39

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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.