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Finding the Fourth Proportional to 34,767.51, 52,128.22 and 12,578

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Solution

The fourth proportional to 34,767.51, 52,128.22 and 12,578 is: 18,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767.51 : 52,128.22 = 12,578 : x
  2. Step 2: Convert to fraction form
    34,767.51/52,128.22 = 12,578/x
  3. Step 3: Cross multiply
    34,767.51x = 52,128.22 × 12,578
  4. Step 4: Simplify right side
    34,767.51x = 655,668,751.16
  5. Step 5: Solve for x
    x = 655,668,751.16/34,767.51
  6. Step 6: Final answer
    x = 18,858.66

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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.