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Finding the Fourth Proportional to 27,115, 40,672.50 and 10,699

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Solution

The fourth proportional to 27,115, 40,672.50 and 10,699 is: 16,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115 : 40,672.50 = 10,699 : x
  2. Step 2: Convert to fraction form
    27,115/40,672.50 = 10,699/x
  3. Step 3: Cross multiply
    27,115x = 40,672.50 × 10,699
  4. Step 4: Simplify right side
    27,115x = 435,155,077.50
  5. Step 5: Solve for x
    x = 435,155,077.50/27,115
  6. Step 6: Final answer
    x = 16,048.50

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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.