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Finding the Fourth Proportional to 7,708.42, 11,494.95 and 7,638.25

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Solution

The fourth proportional to 7,708.42, 11,494.95 and 7,638.25 is: 11,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.42 : 11,494.95 = 7,638.25 : x
  2. Step 2: Convert to fraction form
    7,708.42/11,494.95 = 7,638.25/x
  3. Step 3: Cross multiply
    7,708.42x = 11,494.95 × 7,638.25
  4. Step 4: Simplify right side
    7,708.42x = 87,801,301.84
  5. Step 5: Solve for x
    x = 87,801,301.84/7,708.42
  6. Step 6: Final answer
    x = 11,390.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.