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Finding the Fourth Proportional to 8,553, 11,812.86 and 5,753.64

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Solution

The fourth proportional to 8,553, 11,812.86 and 5,753.64 is: 7,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553 : 11,812.86 = 5,753.64 : x
  2. Step 2: Convert to fraction form
    8,553/11,812.86 = 5,753.64/x
  3. Step 3: Cross multiply
    8,553x = 11,812.86 × 5,753.64
  4. Step 4: Simplify right side
    8,553x = 67,966,943.81
  5. Step 5: Solve for x
    x = 67,966,943.81/8,553
  6. Step 6: Final answer
    x = 7,946.56

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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.