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Finding the Fourth Proportional to 6,656.36, 9,984.54 and 3,146.72

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Solution

The fourth proportional to 6,656.36, 9,984.54 and 3,146.72 is: 4,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.36 : 9,984.54 = 3,146.72 : x
  2. Step 2: Convert to fraction form
    6,656.36/9,984.54 = 3,146.72/x
  3. Step 3: Cross multiply
    6,656.36x = 9,984.54 × 3,146.72
  4. Step 4: Simplify right side
    6,656.36x = 31,418,501.79
  5. Step 5: Solve for x
    x = 31,418,501.79/6,656.36
  6. Step 6: Final answer
    x = 4,720.08

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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.