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Finding the Fourth Proportional to 27,685.65, 41,528.63 and 6,909.15

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Solution

The fourth proportional to 27,685.65, 41,528.63 and 6,909.15 is: 10,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.65 : 41,528.63 = 6,909.15 : x
  2. Step 2: Convert to fraction form
    27,685.65/41,528.63 = 6,909.15/x
  3. Step 3: Cross multiply
    27,685.65x = 41,528.63 × 6,909.15
  4. Step 4: Simplify right side
    27,685.65x = 286,927,533.96
  5. Step 5: Solve for x
    x = 286,927,533.96/27,685.65
  6. Step 6: Final answer
    x = 10,363.76

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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.