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Finding the Fourth Proportional to 7,762.66, 10,711.90 and 4,405.16

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Solution

The fourth proportional to 7,762.66, 10,711.90 and 4,405.16 is: 6,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.66 : 10,711.90 = 4,405.16 : x
  2. Step 2: Convert to fraction form
    7,762.66/10,711.90 = 4,405.16/x
  3. Step 3: Cross multiply
    7,762.66x = 10,711.90 × 4,405.16
  4. Step 4: Simplify right side
    7,762.66x = 47,187,633.40
  5. Step 5: Solve for x
    x = 47,187,633.40/7,762.66
  6. Step 6: Final answer
    x = 6,078.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.