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Finding the Fourth Proportional to 9,671.50, 13,353.11 and 7,429.38

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Solution

The fourth proportional to 9,671.50, 13,353.11 and 7,429.38 is: 10,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.50 : 13,353.11 = 7,429.38 : x
  2. Step 2: Convert to fraction form
    9,671.50/13,353.11 = 7,429.38/x
  3. Step 3: Cross multiply
    9,671.50x = 13,353.11 × 7,429.38
  4. Step 4: Simplify right side
    9,671.50x = 99,205,328.37
  5. Step 5: Solve for x
    x = 99,205,328.37/9,671.50
  6. Step 6: Final answer
    x = 10,257.49

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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.