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Finding the Fourth Proportional to 31,774.94, 47,658.76 and 8,403.20

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Solution

The fourth proportional to 31,774.94, 47,658.76 and 8,403.20 is: 12,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.94 : 47,658.76 = 8,403.20 : x
  2. Step 2: Convert to fraction form
    31,774.94/47,658.76 = 8,403.20/x
  3. Step 3: Cross multiply
    31,774.94x = 47,658.76 × 8,403.20
  4. Step 4: Simplify right side
    31,774.94x = 400,486,092.03
  5. Step 5: Solve for x
    x = 400,486,092.03/31,774.94
  6. Step 6: Final answer
    x = 12,603.83

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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.