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Finding the Fourth Proportional to 8,997.70, 12,411.48 and 7,005.10

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Solution

The fourth proportional to 8,997.70, 12,411.48 and 7,005.10 is: 9,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.70 : 12,411.48 = 7,005.10 : x
  2. Step 2: Convert to fraction form
    8,997.70/12,411.48 = 7,005.10/x
  3. Step 3: Cross multiply
    8,997.70x = 12,411.48 × 7,005.10
  4. Step 4: Simplify right side
    8,997.70x = 86,943,658.55
  5. Step 5: Solve for x
    x = 86,943,658.55/8,997.70
  6. Step 6: Final answer
    x = 9,662.88

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1.5x scale

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.