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Finding the Fourth Proportional to 31,920.90, 47,881.35 and 8,228.40

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Solution

The fourth proportional to 31,920.90, 47,881.35 and 8,228.40 is: 12,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.90 : 47,881.35 = 8,228.40 : x
  2. Step 2: Convert to fraction form
    31,920.90/47,881.35 = 8,228.40/x
  3. Step 3: Cross multiply
    31,920.90x = 47,881.35 × 8,228.40
  4. Step 4: Simplify right side
    31,920.90x = 393,986,900.34
  5. Step 5: Solve for x
    x = 393,986,900.34/31,920.90
  6. Step 6: Final answer
    x = 12,342.60

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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.