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Finding the Fourth Proportional to 12,475.84, 17,220.96 and 7,764.16

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Solution

The fourth proportional to 12,475.84, 17,220.96 and 7,764.16 is: 10,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.84 : 17,220.96 = 7,764.16 : x
  2. Step 2: Convert to fraction form
    12,475.84/17,220.96 = 7,764.16/x
  3. Step 3: Cross multiply
    12,475.84x = 17,220.96 × 7,764.16
  4. Step 4: Simplify right side
    12,475.84x = 133,706,288.79
  5. Step 5: Solve for x
    x = 133,706,288.79/12,475.84
  6. Step 6: Final answer
    x = 10,717.22

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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.