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Finding the Fourth Proportional to 15,188.65, 20,970.70 and 9,824.09

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Solution

The fourth proportional to 15,188.65, 20,970.70 and 9,824.09 is: 13,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.65 : 20,970.70 = 9,824.09 : x
  2. Step 2: Convert to fraction form
    15,188.65/20,970.70 = 9,824.09/x
  3. Step 3: Cross multiply
    15,188.65x = 20,970.70 × 9,824.09
  4. Step 4: Simplify right side
    15,188.65x = 206,017,914.75
  5. Step 5: Solve for x
    x = 206,017,914.75/15,188.65
  6. Step 6: Final answer
    x = 13,563.94

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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.