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Finding the Fourth Proportional to 14,501.84, 20,012.94 and 8,214.21

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Solution

The fourth proportional to 14,501.84, 20,012.94 and 8,214.21 is: 11,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.84 : 20,012.94 = 8,214.21 : x
  2. Step 2: Convert to fraction form
    14,501.84/20,012.94 = 8,214.21/x
  3. Step 3: Cross multiply
    14,501.84x = 20,012.94 × 8,214.21
  4. Step 4: Simplify right side
    14,501.84x = 164,390,491.88
  5. Step 5: Solve for x
    x = 164,390,491.88/14,501.84
  6. Step 6: Final answer
    x = 11,335.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.