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Finding the Fourth Proportional to 9,640.82, 13,295.44 and 7,402.79

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Solution

The fourth proportional to 9,640.82, 13,295.44 and 7,402.79 is: 10,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.82 : 13,295.44 = 7,402.79 : x
  2. Step 2: Convert to fraction form
    9,640.82/13,295.44 = 7,402.79/x
  3. Step 3: Cross multiply
    9,640.82x = 13,295.44 × 7,402.79
  4. Step 4: Simplify right side
    9,640.82x = 98,423,392.77
  5. Step 5: Solve for x
    x = 98,423,392.77/9,640.82
  6. Step 6: Final answer
    x = 10,209.02

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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.