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Finding the Fourth Proportional to 15,881.58, 21,914.80 and 9,829.06

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Solution

The fourth proportional to 15,881.58, 21,914.80 and 9,829.06 is: 13,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.58 : 21,914.80 = 9,829.06 : x
  2. Step 2: Convert to fraction form
    15,881.58/21,914.80 = 9,829.06/x
  3. Step 3: Cross multiply
    15,881.58x = 21,914.80 × 9,829.06
  4. Step 4: Simplify right side
    15,881.58x = 215,401,884.09
  5. Step 5: Solve for x
    x = 215,401,884.09/15,881.58
  6. Step 6: Final answer
    x = 13,563.00

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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.