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Finding the Fourth Proportional to 9,664.34, 13,363.64 and 7,671.44

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Solution

The fourth proportional to 9,664.34, 13,363.64 and 7,671.44 is: 10,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.34 : 13,363.64 = 7,671.44 : x
  2. Step 2: Convert to fraction form
    9,664.34/13,363.64 = 7,671.44/x
  3. Step 3: Cross multiply
    9,664.34x = 13,363.64 × 7,671.44
  4. Step 4: Simplify right side
    9,664.34x = 102,518,324.08
  5. Step 5: Solve for x
    x = 102,518,324.08/9,664.34
  6. Step 6: Final answer
    x = 10,607.90

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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.