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Finding the Fourth Proportional to 27,040, 40,559.82 and 7,320.58

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Solution

The fourth proportional to 27,040, 40,559.82 and 7,320.58 is: 10,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040 : 40,559.82 = 7,320.58 : x
  2. Step 2: Convert to fraction form
    27,040/40,559.82 = 7,320.58/x
  3. Step 3: Cross multiply
    27,040x = 40,559.82 × 7,320.58
  4. Step 4: Simplify right side
    27,040x = 296,921,407.10
  5. Step 5: Solve for x
    x = 296,921,407.10/27,040
  6. Step 6: Final answer
    x = 10,980.82

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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.