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Finding the Fourth Proportional to 13,903.86, 20,856.04 and 4,543.90

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Solution

The fourth proportional to 13,903.86, 20,856.04 and 4,543.90 is: 6,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.86 : 20,856.04 = 4,543.90 : x
  2. Step 2: Convert to fraction form
    13,903.86/20,856.04 = 4,543.90/x
  3. Step 3: Cross multiply
    13,903.86x = 20,856.04 × 4,543.90
  4. Step 4: Simplify right side
    13,903.86x = 94,767,760.16
  5. Step 5: Solve for x
    x = 94,767,760.16/13,903.86
  6. Step 6: Final answer
    x = 6,815.93

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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.