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Finding the Fourth Proportional to 52,655.20, 78,982.80 and 13,213.60

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Solution

The fourth proportional to 52,655.20, 78,982.80 and 13,213.60 is: 19,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.20 : 78,982.80 = 13,213.60 : x
  2. Step 2: Convert to fraction form
    52,655.20/78,982.80 = 13,213.60/x
  3. Step 3: Cross multiply
    52,655.20x = 78,982.80 × 13,213.60
  4. Step 4: Simplify right side
    52,655.20x = 1,043,647,126.08
  5. Step 5: Solve for x
    x = 1,043,647,126.08/52,655.20
  6. Step 6: Final answer
    x = 19,820.40

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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.