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Finding the Fourth Proportional to 6,156, 9,237.65 and 2,645.91

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Solution

The fourth proportional to 6,156, 9,237.65 and 2,645.91 is: 3,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156 : 9,237.65 = 2,645.91 : x
  2. Step 2: Convert to fraction form
    6,156/9,237.65 = 2,645.91/x
  3. Step 3: Cross multiply
    6,156x = 9,237.65 × 2,645.91
  4. Step 4: Simplify right side
    6,156x = 24,441,977.28
  5. Step 5: Solve for x
    x = 24,441,977.28/6,156
  6. Step 6: Final answer
    x = 3,970.43

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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.