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Finding the Fourth Proportional to 13,503.51, 18,640.53 and 8,200.04

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Solution

The fourth proportional to 13,503.51, 18,640.53 and 8,200.04 is: 11,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.51 : 18,640.53 = 8,200.04 : x
  2. Step 2: Convert to fraction form
    13,503.51/18,640.53 = 8,200.04/x
  3. Step 3: Cross multiply
    13,503.51x = 18,640.53 × 8,200.04
  4. Step 4: Simplify right side
    13,503.51x = 152,852,998.42
  5. Step 5: Solve for x
    x = 152,852,998.42/13,503.51
  6. Step 6: Final answer
    x = 11,319.50

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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.