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Finding the Fourth Proportional to 18,543.60, 27,824.04 and 6,702.21

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Solution

The fourth proportional to 18,543.60, 27,824.04 and 6,702.21 is: 10,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.60 : 27,824.04 = 6,702.21 : x
  2. Step 2: Convert to fraction form
    18,543.60/27,824.04 = 6,702.21/x
  3. Step 3: Cross multiply
    18,543.60x = 27,824.04 × 6,702.21
  4. Step 4: Simplify right side
    18,543.60x = 186,482,559.13
  5. Step 5: Solve for x
    x = 186,482,559.13/18,543.60
  6. Step 6: Final answer
    x = 10,056.44

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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.