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Finding the Fourth Proportional to 13,459.84, 20,193.90 and 6,890.64

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Solution

The fourth proportional to 13,459.84, 20,193.90 and 6,890.64 is: 10,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.84 : 20,193.90 = 6,890.64 : x
  2. Step 2: Convert to fraction form
    13,459.84/20,193.90 = 6,890.64/x
  3. Step 3: Cross multiply
    13,459.84x = 20,193.90 × 6,890.64
  4. Step 4: Simplify right side
    13,459.84x = 139,148,844.01
  5. Step 5: Solve for x
    x = 139,148,844.01/13,459.84
  6. Step 6: Final answer
    x = 10,338.08

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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.