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Finding the Fourth Proportional to 7,647.20, 11,445.20 and 5,343.20

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Solution

The fourth proportional to 7,647.20, 11,445.20 and 5,343.20 is: 7,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.20 : 11,445.20 = 5,343.20 : x
  2. Step 2: Convert to fraction form
    7,647.20/11,445.20 = 5,343.20/x
  3. Step 3: Cross multiply
    7,647.20x = 11,445.20 × 5,343.20
  4. Step 4: Simplify right side
    7,647.20x = 61,153,992.64
  5. Step 5: Solve for x
    x = 61,153,992.64/7,647.20
  6. Step 6: Final answer
    x = 7,996.91

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1.5x scale

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.