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Finding the Fourth Proportional to 6,506.06, 8,978.45 and 3,953.07

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Solution

The fourth proportional to 6,506.06, 8,978.45 and 3,953.07 is: 5,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.06 : 8,978.45 = 3,953.07 : x
  2. Step 2: Convert to fraction form
    6,506.06/8,978.45 = 3,953.07/x
  3. Step 3: Cross multiply
    6,506.06x = 8,978.45 × 3,953.07
  4. Step 4: Simplify right side
    6,506.06x = 35,492,421.58
  5. Step 5: Solve for x
    x = 35,492,421.58/6,506.06
  6. Step 6: Final answer
    x = 5,455.29

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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.