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Finding the Fourth Proportional to 17,661.60, 24,346.80 and 12,938.40

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Solution

The fourth proportional to 17,661.60, 24,346.80 and 12,938.40 is: 17,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.60 : 24,346.80 = 12,938.40 : x
  2. Step 2: Convert to fraction form
    17,661.60/24,346.80 = 12,938.40/x
  3. Step 3: Cross multiply
    17,661.60x = 24,346.80 × 12,938.40
  4. Step 4: Simplify right side
    17,661.60x = 315,008,637.12
  5. Step 5: Solve for x
    x = 315,008,637.12/17,661.60
  6. Step 6: Final answer
    x = 17,835.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.