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Finding the Fourth Proportional to 10,999.64, 15,123.30 and 9,793.15

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Solution

The fourth proportional to 10,999.64, 15,123.30 and 9,793.15 is: 13,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.64 : 15,123.30 = 9,793.15 : x
  2. Step 2: Convert to fraction form
    10,999.64/15,123.30 = 9,793.15/x
  3. Step 3: Cross multiply
    10,999.64x = 15,123.30 × 9,793.15
  4. Step 4: Simplify right side
    10,999.64x = 148,104,620.81
  5. Step 5: Solve for x
    x = 148,104,620.81/10,999.64
  6. Step 6: Final answer
    x = 13,464.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.