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Finding the Fourth Proportional to 8,762.86, 13,135.05 and 4,314.36

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Solution

The fourth proportional to 8,762.86, 13,135.05 and 4,314.36 is: 6,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.86 : 13,135.05 = 4,314.36 : x
  2. Step 2: Convert to fraction form
    8,762.86/13,135.05 = 4,314.36/x
  3. Step 3: Cross multiply
    8,762.86x = 13,135.05 × 4,314.36
  4. Step 4: Simplify right side
    8,762.86x = 56,669,334.32
  5. Step 5: Solve for x
    x = 56,669,334.32/8,762.86
  6. Step 6: Final answer
    x = 6,466.99

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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.