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Finding the Fourth Proportional to 10,486.32, 15,738.84 and 7,881.36

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Solution

The fourth proportional to 10,486.32, 15,738.84 and 7,881.36 is: 11,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.32 : 15,738.84 = 7,881.36 : x
  2. Step 2: Convert to fraction form
    10,486.32/15,738.84 = 7,881.36/x
  3. Step 3: Cross multiply
    10,486.32x = 15,738.84 × 7,881.36
  4. Step 4: Simplify right side
    10,486.32x = 124,043,464.02
  5. Step 5: Solve for x
    x = 124,043,464.02/10,486.32
  6. Step 6: Final answer
    x = 11,829.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.