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Finding the Fourth Proportional to 13,705.38, 18,913.77 and 8,403.12

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Solution

The fourth proportional to 13,705.38, 18,913.77 and 8,403.12 is: 11,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.38 : 18,913.77 = 8,403.12 : x
  2. Step 2: Convert to fraction form
    13,705.38/18,913.77 = 8,403.12/x
  3. Step 3: Cross multiply
    13,705.38x = 18,913.77 × 8,403.12
  4. Step 4: Simplify right side
    13,705.38x = 158,934,678.96
  5. Step 5: Solve for x
    x = 158,934,678.96/13,705.38
  6. Step 6: Final answer
    x = 11,596.52

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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.