Home / 13,709.41-20,565.14-7,784

Finding the Fourth Proportional to 13,709.41, 20,565.14 and 7,784

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Solution

The fourth proportional to 13,709.41, 20,565.14 and 7,784 is: 11,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.41 : 20,565.14 = 7,784 : x
  2. Step 2: Convert to fraction form
    13,709.41/20,565.14 = 7,784/x
  3. Step 3: Cross multiply
    13,709.41x = 20,565.14 × 7,784
  4. Step 4: Simplify right side
    13,709.41x = 160,079,049.76
  5. Step 5: Solve for x
    x = 160,079,049.76/13,709.41
  6. Step 6: Final answer
    x = 11,676.58

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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.