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Finding the Fourth Proportional to 14,428.22, 21,642.84 and 7,406.34

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Solution

The fourth proportional to 14,428.22, 21,642.84 and 7,406.34 is: 11,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.22 : 21,642.84 = 7,406.34 : x
  2. Step 2: Convert to fraction form
    14,428.22/21,642.84 = 7,406.34/x
  3. Step 3: Cross multiply
    14,428.22x = 21,642.84 × 7,406.34
  4. Step 4: Simplify right side
    14,428.22x = 160,294,231.61
  5. Step 5: Solve for x
    x = 160,294,231.61/14,428.22
  6. Step 6: Final answer
    x = 11,109.77

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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.