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Finding the Fourth Proportional to 9,930.40, 13,682.32 and 7,411.50

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Solution

The fourth proportional to 9,930.40, 13,682.32 and 7,411.50 is: 10,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.40 : 13,682.32 = 7,411.50 : x
  2. Step 2: Convert to fraction form
    9,930.40/13,682.32 = 7,411.50/x
  3. Step 3: Cross multiply
    9,930.40x = 13,682.32 × 7,411.50
  4. Step 4: Simplify right side
    9,930.40x = 101,406,496.15
  5. Step 5: Solve for x
    x = 101,406,496.15/9,930.40
  6. Step 6: Final answer
    x = 10,211.73

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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.