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Finding the Fourth Proportional to 11,957.88, 16,501.59 and 6,921.40

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Solution

The fourth proportional to 11,957.88, 16,501.59 and 6,921.40 is: 9,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.88 : 16,501.59 = 6,921.40 : x
  2. Step 2: Convert to fraction form
    11,957.88/16,501.59 = 6,921.40/x
  3. Step 3: Cross multiply
    11,957.88x = 16,501.59 × 6,921.40
  4. Step 4: Simplify right side
    11,957.88x = 114,214,105.03
  5. Step 5: Solve for x
    x = 114,214,105.03/11,957.88
  6. Step 6: Final answer
    x = 9,551.37

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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.