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Finding the Fourth Proportional to 35,670.31, 53,507.77 and 11,976.90

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Solution

The fourth proportional to 35,670.31, 53,507.77 and 11,976.90 is: 17,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670.31 : 53,507.77 = 11,976.90 : x
  2. Step 2: Convert to fraction form
    35,670.31/53,507.77 = 11,976.90/x
  3. Step 3: Cross multiply
    35,670.31x = 53,507.77 × 11,976.90
  4. Step 4: Simplify right side
    35,670.31x = 640,857,180.57
  5. Step 5: Solve for x
    x = 640,857,180.57/35,670.31
  6. Step 6: Final answer
    x = 17,966.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.