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Finding the Fourth Proportional to 15,840.42, 21,856.07 and 10,815.11

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Solution

The fourth proportional to 15,840.42, 21,856.07 and 10,815.11 is: 14,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.42 : 21,856.07 = 10,815.11 : x
  2. Step 2: Convert to fraction form
    15,840.42/21,856.07 = 10,815.11/x
  3. Step 3: Cross multiply
    15,840.42x = 21,856.07 × 10,815.11
  4. Step 4: Simplify right side
    15,840.42x = 236,375,637.86
  5. Step 5: Solve for x
    x = 236,375,637.86/15,840.42
  6. Step 6: Final answer
    x = 14,922.31

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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.