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Finding the Fourth Proportional to 13,420.78, 20,131.18 and 4,187.50

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Solution

The fourth proportional to 13,420.78, 20,131.18 and 4,187.50 is: 6,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.78 : 20,131.18 = 4,187.50 : x
  2. Step 2: Convert to fraction form
    13,420.78/20,131.18 = 4,187.50/x
  3. Step 3: Cross multiply
    13,420.78x = 20,131.18 × 4,187.50
  4. Step 4: Simplify right side
    13,420.78x = 84,299,316.25
  5. Step 5: Solve for x
    x = 84,299,316.25/13,420.78
  6. Step 6: Final answer
    x = 6,281.25

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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.