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Finding the Fourth Proportional to 15,354.08, 21,192 and 9,764

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Solution

The fourth proportional to 15,354.08, 21,192 and 9,764 is: 13,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354.08 : 21,192 = 9,764 : x
  2. Step 2: Convert to fraction form
    15,354.08/21,192 = 9,764/x
  3. Step 3: Cross multiply
    15,354.08x = 21,192 × 9,764
  4. Step 4: Simplify right side
    15,354.08x = 206,918,688
  5. Step 5: Solve for x
    x = 206,918,688/15,354.08
  6. Step 6: Final answer
    x = 13,476.46

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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.