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Finding the Fourth Proportional to 18,565.86, 27,853.68 and 9,205.50

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Solution

The fourth proportional to 18,565.86, 27,853.68 and 9,205.50 is: 13,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.86 : 27,853.68 = 9,205.50 : x
  2. Step 2: Convert to fraction form
    18,565.86/27,853.68 = 9,205.50/x
  3. Step 3: Cross multiply
    18,565.86x = 27,853.68 × 9,205.50
  4. Step 4: Simplify right side
    18,565.86x = 256,407,051.24
  5. Step 5: Solve for x
    x = 256,407,051.24/18,565.86
  6. Step 6: Final answer
    x = 13,810.67

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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.