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Finding the Fourth Proportional to 11,445.84, 15,776.76 and 8,083.29

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Solution

The fourth proportional to 11,445.84, 15,776.76 and 8,083.29 is: 11,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.84 : 15,776.76 = 8,083.29 : x
  2. Step 2: Convert to fraction form
    11,445.84/15,776.76 = 8,083.29/x
  3. Step 3: Cross multiply
    11,445.84x = 15,776.76 × 8,083.29
  4. Step 4: Simplify right side
    11,445.84x = 127,528,126.34
  5. Step 5: Solve for x
    x = 127,528,126.34/11,445.84
  6. Step 6: Final answer
    x = 11,141.88

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Half scale
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Double scale
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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.