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Finding the Fourth Proportional to 13,101.48, 19,645.65 and 6,531.30

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Solution

The fourth proportional to 13,101.48, 19,645.65 and 6,531.30 is: 9,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.48 : 19,645.65 = 6,531.30 : x
  2. Step 2: Convert to fraction form
    13,101.48/19,645.65 = 6,531.30/x
  3. Step 3: Cross multiply
    13,101.48x = 19,645.65 × 6,531.30
  4. Step 4: Simplify right side
    13,101.48x = 128,311,633.85
  5. Step 5: Solve for x
    x = 128,311,633.85/13,101.48
  6. Step 6: Final answer
    x = 9,793.67

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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.