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Finding the Fourth Proportional to 8,762.40, 13,135.80 and 3,214.46

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Solution

The fourth proportional to 8,762.40, 13,135.80 and 3,214.46 is: 4,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.40 : 13,135.80 = 3,214.46 : x
  2. Step 2: Convert to fraction form
    8,762.40/13,135.80 = 3,214.46/x
  3. Step 3: Cross multiply
    8,762.40x = 13,135.80 × 3,214.46
  4. Step 4: Simplify right side
    8,762.40x = 42,224,503.67
  5. Step 5: Solve for x
    x = 42,224,503.67/8,762.40
  6. Step 6: Final answer
    x = 4,818.83

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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.