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Finding the Fourth Proportional to 15,097, 20,833.86 and 8,809.42

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Solution

The fourth proportional to 15,097, 20,833.86 and 8,809.42 is: 12,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097 : 20,833.86 = 8,809.42 : x
  2. Step 2: Convert to fraction form
    15,097/20,833.86 = 8,809.42/x
  3. Step 3: Cross multiply
    15,097x = 20,833.86 × 8,809.42
  4. Step 4: Simplify right side
    15,097x = 183,534,222.96
  5. Step 5: Solve for x
    x = 183,534,222.96/15,097
  6. Step 6: Final answer
    x = 12,157.00

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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.