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Finding the Fourth Proportional to 20,199.60, 27,878.85 and 13,027.50

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Solution

The fourth proportional to 20,199.60, 27,878.85 and 13,027.50 is: 17,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.60 : 27,878.85 = 13,027.50 : x
  2. Step 2: Convert to fraction form
    20,199.60/27,878.85 = 13,027.50/x
  3. Step 3: Cross multiply
    20,199.60x = 27,878.85 × 13,027.50
  4. Step 4: Simplify right side
    20,199.60x = 363,191,718.38
  5. Step 5: Solve for x
    x = 363,191,718.38/20,199.60
  6. Step 6: Final answer
    x = 17,980.14

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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.