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Finding the Fourth Proportional to 14,412.82, 21,608.70 and 9,721.16

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Solution

The fourth proportional to 14,412.82, 21,608.70 and 9,721.16 is: 14,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.82 : 21,608.70 = 9,721.16 : x
  2. Step 2: Convert to fraction form
    14,412.82/21,608.70 = 9,721.16/x
  3. Step 3: Cross multiply
    14,412.82x = 21,608.70 × 9,721.16
  4. Step 4: Simplify right side
    14,412.82x = 210,061,630.09
  5. Step 5: Solve for x
    x = 210,061,630.09/14,412.82
  6. Step 6: Final answer
    x = 14,574.64

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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.