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Finding the Fourth Proportional to 13,784.80, 20,679.90 and 5,887.30

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Solution

The fourth proportional to 13,784.80, 20,679.90 and 5,887.30 is: 8,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.80 : 20,679.90 = 5,887.30 : x
  2. Step 2: Convert to fraction form
    13,784.80/20,679.90 = 5,887.30/x
  3. Step 3: Cross multiply
    13,784.80x = 20,679.90 × 5,887.30
  4. Step 4: Simplify right side
    13,784.80x = 121,748,775.27
  5. Step 5: Solve for x
    x = 121,748,775.27/13,784.80
  6. Step 6: Final answer
    x = 8,832.10

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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.