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Finding the Fourth Proportional to 12,403.20, 18,619.20 and 7,478.40

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Solution

The fourth proportional to 12,403.20, 18,619.20 and 7,478.40 is: 11,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.20 : 18,619.20 = 7,478.40 : x
  2. Step 2: Convert to fraction form
    12,403.20/18,619.20 = 7,478.40/x
  3. Step 3: Cross multiply
    12,403.20x = 18,619.20 × 7,478.40
  4. Step 4: Simplify right side
    12,403.20x = 139,241,825.28
  5. Step 5: Solve for x
    x = 139,241,825.28/12,403.20
  6. Step 6: Final answer
    x = 11,226.28

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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.