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Finding the Fourth Proportional to 31,619.16, 47,428.74 and 8,245.40

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Solution

The fourth proportional to 31,619.16, 47,428.74 and 8,245.40 is: 12,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619.16 : 47,428.74 = 8,245.40 : x
  2. Step 2: Convert to fraction form
    31,619.16/47,428.74 = 8,245.40/x
  3. Step 3: Cross multiply
    31,619.16x = 47,428.74 × 8,245.40
  4. Step 4: Simplify right side
    31,619.16x = 391,068,695.65
  5. Step 5: Solve for x
    x = 391,068,695.65/31,619.16
  6. Step 6: Final answer
    x = 12,368.09

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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.