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Finding the Fourth Proportional to 15,111, 20,856.48 and 8,398.92

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Solution

The fourth proportional to 15,111, 20,856.48 and 8,398.92 is: 11,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111 : 20,856.48 = 8,398.92 : x
  2. Step 2: Convert to fraction form
    15,111/20,856.48 = 8,398.92/x
  3. Step 3: Cross multiply
    15,111x = 20,856.48 × 8,398.92
  4. Step 4: Simplify right side
    15,111x = 175,171,907.00
  5. Step 5: Solve for x
    x = 175,171,907.00/15,111
  6. Step 6: Final answer
    x = 11,592.34

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1.5x scale

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.