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Finding the Fourth Proportional to 13,642.40, 20,452.80 and 7,486.40

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Solution

The fourth proportional to 13,642.40, 20,452.80 and 7,486.40 is: 11,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.40 : 20,452.80 = 7,486.40 : x
  2. Step 2: Convert to fraction form
    13,642.40/20,452.80 = 7,486.40/x
  3. Step 3: Cross multiply
    13,642.40x = 20,452.80 × 7,486.40
  4. Step 4: Simplify right side
    13,642.40x = 153,117,841.92
  5. Step 5: Solve for x
    x = 153,117,841.92/13,642.40
  6. Step 6: Final answer
    x = 11,223.67

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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.