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Finding the Fourth Proportional to 7,997.72, 11,978.94 and 4,710.20

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Solution

The fourth proportional to 7,997.72, 11,978.94 and 4,710.20 is: 7,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.72 : 11,978.94 = 4,710.20 : x
  2. Step 2: Convert to fraction form
    7,997.72/11,978.94 = 4,710.20/x
  3. Step 3: Cross multiply
    7,997.72x = 11,978.94 × 4,710.20
  4. Step 4: Simplify right side
    7,997.72x = 56,423,203.19
  5. Step 5: Solve for x
    x = 56,423,203.19/7,997.72
  6. Step 6: Final answer
    x = 7,054.91

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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.