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Finding the Fourth Proportional to 31,742.16, 47,611.16 and 8,368.72

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Solution

The fourth proportional to 31,742.16, 47,611.16 and 8,368.72 is: 12,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.16 : 47,611.16 = 8,368.72 : x
  2. Step 2: Convert to fraction form
    31,742.16/47,611.16 = 8,368.72/x
  3. Step 3: Cross multiply
    31,742.16x = 47,611.16 × 8,368.72
  4. Step 4: Simplify right side
    31,742.16x = 398,444,466.92
  5. Step 5: Solve for x
    x = 398,444,466.92/31,742.16
  6. Step 6: Final answer
    x = 12,552.53

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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.