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Finding the Fourth Proportional to 17,478.08, 23,984.10 and 15,894.08

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Solution

The fourth proportional to 17,478.08, 23,984.10 and 15,894.08 is: 21,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.08 : 23,984.10 = 15,894.08 : x
  2. Step 2: Convert to fraction form
    17,478.08/23,984.10 = 15,894.08/x
  3. Step 3: Cross multiply
    17,478.08x = 23,984.10 × 15,894.08
  4. Step 4: Simplify right side
    17,478.08x = 381,205,204.13
  5. Step 5: Solve for x
    x = 381,205,204.13/17,478.08
  6. Step 6: Final answer
    x = 21,810.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.