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Finding the Fourth Proportional to 8,762.40, 13,137.12 and 4,140

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Solution

The fourth proportional to 8,762.40, 13,137.12 and 4,140 is: 6,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.40 : 13,137.12 = 4,140 : x
  2. Step 2: Convert to fraction form
    8,762.40/13,137.12 = 4,140/x
  3. Step 3: Cross multiply
    8,762.40x = 13,137.12 × 4,140
  4. Step 4: Simplify right side
    8,762.40x = 54,387,676.80
  5. Step 5: Solve for x
    x = 54,387,676.80/8,762.40
  6. Step 6: Final answer
    x = 6,206.94

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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.