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Finding the Fourth Proportional to 13,547, 18,694.92 and 7,578.66

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Solution

The fourth proportional to 13,547, 18,694.92 and 7,578.66 is: 10,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547 : 18,694.92 = 7,578.66 : x
  2. Step 2: Convert to fraction form
    13,547/18,694.92 = 7,578.66/x
  3. Step 3: Cross multiply
    13,547x = 18,694.92 × 7,578.66
  4. Step 4: Simplify right side
    13,547x = 141,682,442.41
  5. Step 5: Solve for x
    x = 141,682,442.41/13,547
  6. Step 6: Final answer
    x = 10,458.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.