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Finding the Fourth Proportional to 13,586.86, 20,378.22 and 4,820.50

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Solution

The fourth proportional to 13,586.86, 20,378.22 and 4,820.50 is: 7,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.86 : 20,378.22 = 4,820.50 : x
  2. Step 2: Convert to fraction form
    13,586.86/20,378.22 = 4,820.50/x
  3. Step 3: Cross multiply
    13,586.86x = 20,378.22 × 4,820.50
  4. Step 4: Simplify right side
    13,586.86x = 98,233,209.51
  5. Step 5: Solve for x
    x = 98,233,209.51/13,586.86
  6. Step 6: Final answer
    x = 7,230.02

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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.