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Finding the Fourth Proportional to 12,782.66, 17,638.81 and 7,476.44

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Solution

The fourth proportional to 12,782.66, 17,638.81 and 7,476.44 is: 10,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.66 : 17,638.81 = 7,476.44 : x
  2. Step 2: Convert to fraction form
    12,782.66/17,638.81 = 7,476.44/x
  3. Step 3: Cross multiply
    12,782.66x = 17,638.81 × 7,476.44
  4. Step 4: Simplify right side
    12,782.66x = 131,875,397.75
  5. Step 5: Solve for x
    x = 131,875,397.75/12,782.66
  6. Step 6: Final answer
    x = 10,316.75

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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.