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Finding the Fourth Proportional to 9,997.59, 14,989.10 and 6,491.10

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Solution

The fourth proportional to 9,997.59, 14,989.10 and 6,491.10 is: 9,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.59 : 14,989.10 = 6,491.10 : x
  2. Step 2: Convert to fraction form
    9,997.59/14,989.10 = 6,491.10/x
  3. Step 3: Cross multiply
    9,997.59x = 14,989.10 × 6,491.10
  4. Step 4: Simplify right side
    9,997.59x = 97,295,714.55
  5. Step 5: Solve for x
    x = 97,295,714.55/9,997.59
  6. Step 6: Final answer
    x = 9,731.92

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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.