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Finding the Fourth Proportional to 27,259.43, 40,890.05 and 7,538.15

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Solution

The fourth proportional to 27,259.43, 40,890.05 and 7,538.15 is: 11,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259.43 : 40,890.05 = 7,538.15 : x
  2. Step 2: Convert to fraction form
    27,259.43/40,890.05 = 7,538.15/x
  3. Step 3: Cross multiply
    27,259.43x = 40,890.05 × 7,538.15
  4. Step 4: Simplify right side
    27,259.43x = 308,235,088.27
  5. Step 5: Solve for x
    x = 308,235,088.27/27,259.43
  6. Step 6: Final answer
    x = 11,307.47

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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.