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Finding the Fourth Proportional to 11,005.40, 16,475.70 and 9,709.40

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Solution

The fourth proportional to 11,005.40, 16,475.70 and 9,709.40 is: 14,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.40 : 16,475.70 = 9,709.40 : x
  2. Step 2: Convert to fraction form
    11,005.40/16,475.70 = 9,709.40/x
  3. Step 3: Cross multiply
    11,005.40x = 16,475.70 × 9,709.40
  4. Step 4: Simplify right side
    11,005.40x = 159,969,161.58
  5. Step 5: Solve for x
    x = 159,969,161.58/11,005.40
  6. Step 6: Final answer
    x = 14,535.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.