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Finding the Fourth Proportional to 14,142.84, 21,214.68 and 6,748.08

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Solution

The fourth proportional to 14,142.84, 21,214.68 and 6,748.08 is: 10,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.84 : 21,214.68 = 6,748.08 : x
  2. Step 2: Convert to fraction form
    14,142.84/21,214.68 = 6,748.08/x
  3. Step 3: Cross multiply
    14,142.84x = 21,214.68 × 6,748.08
  4. Step 4: Simplify right side
    14,142.84x = 143,158,357.81
  5. Step 5: Solve for x
    x = 143,158,357.81/14,142.84
  6. Step 6: Final answer
    x = 10,122.32

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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.