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Finding the Fourth Proportional to 6,520.65, 8,999 and 3,688.35

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Solution

The fourth proportional to 6,520.65, 8,999 and 3,688.35 is: 5,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.65 : 8,999 = 3,688.35 : x
  2. Step 2: Convert to fraction form
    6,520.65/8,999 = 3,688.35/x
  3. Step 3: Cross multiply
    6,520.65x = 8,999 × 3,688.35
  4. Step 4: Simplify right side
    6,520.65x = 33,191,461.65
  5. Step 5: Solve for x
    x = 33,191,461.65/6,520.65
  6. Step 6: Final answer
    x = 5,090.21

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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.