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Finding the Fourth Proportional to 27,040.78, 40,503.66 and 12,980.08

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Solution

The fourth proportional to 27,040.78, 40,503.66 and 12,980.08 is: 19,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040.78 : 40,503.66 = 12,980.08 : x
  2. Step 2: Convert to fraction form
    27,040.78/40,503.66 = 12,980.08/x
  3. Step 3: Cross multiply
    27,040.78x = 40,503.66 × 12,980.08
  4. Step 4: Simplify right side
    27,040.78x = 525,740,747.09
  5. Step 5: Solve for x
    x = 525,740,747.09/27,040.78
  6. Step 6: Final answer
    x = 19,442.51

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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.