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Finding the Fourth Proportional to 15,476, 21,356.88 and 8,402.48

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Solution

The fourth proportional to 15,476, 21,356.88 and 8,402.48 is: 11,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476 : 21,356.88 = 8,402.48 : x
  2. Step 2: Convert to fraction form
    15,476/21,356.88 = 8,402.48/x
  3. Step 3: Cross multiply
    15,476x = 21,356.88 × 8,402.48
  4. Step 4: Simplify right side
    15,476x = 179,450,757.06
  5. Step 5: Solve for x
    x = 179,450,757.06/15,476
  6. Step 6: Final answer
    x = 11,595.42

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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.