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Finding the Fourth Proportional to 21,313.98, 31,970.97 and 9,624.06

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Solution

The fourth proportional to 21,313.98, 31,970.97 and 9,624.06 is: 14,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.98 : 31,970.97 = 9,624.06 : x
  2. Step 2: Convert to fraction form
    21,313.98/31,970.97 = 9,624.06/x
  3. Step 3: Cross multiply
    21,313.98x = 31,970.97 × 9,624.06
  4. Step 4: Simplify right side
    21,313.98x = 307,690,533.54
  5. Step 5: Solve for x
    x = 307,690,533.54/21,313.98
  6. Step 6: Final answer
    x = 14,436.09

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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.