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Finding the Fourth Proportional to 8,477, 11,694.10 and 7,356.36

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Solution

The fourth proportional to 8,477, 11,694.10 and 7,356.36 is: 10,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477 : 11,694.10 = 7,356.36 : x
  2. Step 2: Convert to fraction form
    8,477/11,694.10 = 7,356.36/x
  3. Step 3: Cross multiply
    8,477x = 11,694.10 × 7,356.36
  4. Step 4: Simplify right side
    8,477x = 86,026,009.48
  5. Step 5: Solve for x
    x = 86,026,009.48/8,477
  6. Step 6: Final answer
    x = 10,148.17

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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.