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Finding the Fourth Proportional to 13,905.61, 20,854.05 and 4,543.49

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Solution

The fourth proportional to 13,905.61, 20,854.05 and 4,543.49 is: 6,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.61 : 20,854.05 = 4,543.49 : x
  2. Step 2: Convert to fraction form
    13,905.61/20,854.05 = 4,543.49/x
  3. Step 3: Cross multiply
    13,905.61x = 20,854.05 × 4,543.49
  4. Step 4: Simplify right side
    13,905.61x = 94,750,219.77
  5. Step 5: Solve for x
    x = 94,750,219.77/13,905.61
  6. Step 6: Final answer
    x = 6,813.81

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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.