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Finding the Fourth Proportional to 13,782.51, 20,670.12 and 5,989.50

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Solution

The fourth proportional to 13,782.51, 20,670.12 and 5,989.50 is: 8,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.51 : 20,670.12 = 5,989.50 : x
  2. Step 2: Convert to fraction form
    13,782.51/20,670.12 = 5,989.50/x
  3. Step 3: Cross multiply
    13,782.51x = 20,670.12 × 5,989.50
  4. Step 4: Simplify right side
    13,782.51x = 123,803,683.74
  5. Step 5: Solve for x
    x = 123,803,683.74/13,782.51
  6. Step 6: Final answer
    x = 8,982.67

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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.