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Finding the Fourth Proportional to 9,638.82, 14,465.94 and 9,331.28

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Solution

The fourth proportional to 9,638.82, 14,465.94 and 9,331.28 is: 14,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.82 : 14,465.94 = 9,331.28 : x
  2. Step 2: Convert to fraction form
    9,638.82/14,465.94 = 9,331.28/x
  3. Step 3: Cross multiply
    9,638.82x = 14,465.94 × 9,331.28
  4. Step 4: Simplify right side
    9,638.82x = 134,985,664.27
  5. Step 5: Solve for x
    x = 134,985,664.27/9,638.82
  6. Step 6: Final answer
    x = 14,004.38

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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.