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Finding the Fourth Proportional to 7,648.50, 10,538.77 and 7,122.58

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Solution

The fourth proportional to 7,648.50, 10,538.77 and 7,122.58 is: 9,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.50 : 10,538.77 = 7,122.58 : x
  2. Step 2: Convert to fraction form
    7,648.50/10,538.77 = 7,122.58/x
  3. Step 3: Cross multiply
    7,648.50x = 10,538.77 × 7,122.58
  4. Step 4: Simplify right side
    7,648.50x = 75,063,232.43
  5. Step 5: Solve for x
    x = 75,063,232.43/7,648.50
  6. Step 6: Final answer
    x = 9,814.11

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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.