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Finding the Fourth Proportional to 15,705.84, 21,673.08 and 8,991.48

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Solution

The fourth proportional to 15,705.84, 21,673.08 and 8,991.48 is: 12,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.84 : 21,673.08 = 8,991.48 : x
  2. Step 2: Convert to fraction form
    15,705.84/21,673.08 = 8,991.48/x
  3. Step 3: Cross multiply
    15,705.84x = 21,673.08 × 8,991.48
  4. Step 4: Simplify right side
    15,705.84x = 194,873,065.36
  5. Step 5: Solve for x
    x = 194,873,065.36/15,705.84
  6. Step 6: Final answer
    x = 12,407.68

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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.