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Finding the Fourth Proportional to 19,640.88, 29,465.76 and 6,494.64

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Solution

The fourth proportional to 19,640.88, 29,465.76 and 6,494.64 is: 9,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.88 : 29,465.76 = 6,494.64 : x
  2. Step 2: Convert to fraction form
    19,640.88/29,465.76 = 6,494.64/x
  3. Step 3: Cross multiply
    19,640.88x = 29,465.76 × 6,494.64
  4. Step 4: Simplify right side
    19,640.88x = 191,369,503.53
  5. Step 5: Solve for x
    x = 191,369,503.53/19,640.88
  6. Step 6: Final answer
    x = 9,743.43

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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.