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Finding the Fourth Proportional to 7,588.78, 10,472.50 and 4,231.58

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Solution

The fourth proportional to 7,588.78, 10,472.50 and 4,231.58 is: 5,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.78 : 10,472.50 = 4,231.58 : x
  2. Step 2: Convert to fraction form
    7,588.78/10,472.50 = 4,231.58/x
  3. Step 3: Cross multiply
    7,588.78x = 10,472.50 × 4,231.58
  4. Step 4: Simplify right side
    7,588.78x = 44,315,221.55
  5. Step 5: Solve for x
    x = 44,315,221.55/7,588.78
  6. Step 6: Final answer
    x = 5,839.57

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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.