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Finding the Fourth Proportional to 15,475, 21,355.61 and 8,401.48

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Solution

The fourth proportional to 15,475, 21,355.61 and 8,401.48 is: 11,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475 : 21,355.61 = 8,401.48 : x
  2. Step 2: Convert to fraction form
    15,475/21,355.61 = 8,401.48/x
  3. Step 3: Cross multiply
    15,475x = 21,355.61 × 8,401.48
  4. Step 4: Simplify right side
    15,475x = 179,418,730.30
  5. Step 5: Solve for x
    x = 179,418,730.30/15,475
  6. Step 6: Final answer
    x = 11,594.10

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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.