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Finding the Fourth Proportional to 14,358.50, 19,812.96 and 8,385.84

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Solution

The fourth proportional to 14,358.50, 19,812.96 and 8,385.84 is: 11,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.50 : 19,812.96 = 8,385.84 : x
  2. Step 2: Convert to fraction form
    14,358.50/19,812.96 = 8,385.84/x
  3. Step 3: Cross multiply
    14,358.50x = 19,812.96 × 8,385.84
  4. Step 4: Simplify right side
    14,358.50x = 166,148,312.49
  5. Step 5: Solve for x
    x = 166,148,312.49/14,358.50
  6. Step 6: Final answer
    x = 11,571.43

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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.