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Finding the Fourth Proportional to 15,859.96, 21,887.04 and 9,493.12

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Solution

The fourth proportional to 15,859.96, 21,887.04 and 9,493.12 is: 13,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.96 : 21,887.04 = 9,493.12 : x
  2. Step 2: Convert to fraction form
    15,859.96/21,887.04 = 9,493.12/x
  3. Step 3: Cross multiply
    15,859.96x = 21,887.04 × 9,493.12
  4. Step 4: Simplify right side
    15,859.96x = 207,776,297.16
  5. Step 5: Solve for x
    x = 207,776,297.16/15,859.96
  6. Step 6: Final answer
    x = 13,100.68

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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.