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Finding the Fourth Proportional to 12,578.80, 18,859.91 and 7,040.32

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Solution

The fourth proportional to 12,578.80, 18,859.91 and 7,040.32 is: 10,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.80 : 18,859.91 = 7,040.32 : x
  2. Step 2: Convert to fraction form
    12,578.80/18,859.91 = 7,040.32/x
  3. Step 3: Cross multiply
    12,578.80x = 18,859.91 × 7,040.32
  4. Step 4: Simplify right side
    12,578.80x = 132,779,707.27
  5. Step 5: Solve for x
    x = 132,779,707.27/12,578.80
  6. Step 6: Final answer
    x = 10,555.84

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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.