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Finding the Fourth Proportional to 31,913.67, 47,870.51 and 8,539.50

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Solution

The fourth proportional to 31,913.67, 47,870.51 and 8,539.50 is: 12,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.67 : 47,870.51 = 8,539.50 : x
  2. Step 2: Convert to fraction form
    31,913.67/47,870.51 = 8,539.50/x
  3. Step 3: Cross multiply
    31,913.67x = 47,870.51 × 8,539.50
  4. Step 4: Simplify right side
    31,913.67x = 408,790,220.15
  5. Step 5: Solve for x
    x = 408,790,220.15/31,913.67
  6. Step 6: Final answer
    x = 12,809.25

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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.