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Finding the Fourth Proportional to 14,311.12, 21,471 and 9,649.84

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Solution

The fourth proportional to 14,311.12, 21,471 and 9,649.84 is: 14,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.12 : 21,471 = 9,649.84 : x
  2. Step 2: Convert to fraction form
    14,311.12/21,471 = 9,649.84/x
  3. Step 3: Cross multiply
    14,311.12x = 21,471 × 9,649.84
  4. Step 4: Simplify right side
    14,311.12x = 207,191,714.64
  5. Step 5: Solve for x
    x = 207,191,714.64/14,311.12
  6. Step 6: Final answer
    x = 14,477.67

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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.