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Finding the Fourth Proportional to 8,931.86, 13,396.64 and 2,358.54

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Solution

The fourth proportional to 8,931.86, 13,396.64 and 2,358.54 is: 3,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.86 : 13,396.64 = 2,358.54 : x
  2. Step 2: Convert to fraction form
    8,931.86/13,396.64 = 2,358.54/x
  3. Step 3: Cross multiply
    8,931.86x = 13,396.64 × 2,358.54
  4. Step 4: Simplify right side
    8,931.86x = 31,596,511.31
  5. Step 5: Solve for x
    x = 31,596,511.31/8,931.86
  6. Step 6: Final answer
    x = 3,537.51

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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.