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Finding the Fourth Proportional to 8,478.65, 12,705.45 and 8,004.76

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Solution

The fourth proportional to 8,478.65, 12,705.45 and 8,004.76 is: 11,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.65 : 12,705.45 = 8,004.76 : x
  2. Step 2: Convert to fraction form
    8,478.65/12,705.45 = 8,004.76/x
  3. Step 3: Cross multiply
    8,478.65x = 12,705.45 × 8,004.76
  4. Step 4: Simplify right side
    8,478.65x = 101,704,077.94
  5. Step 5: Solve for x
    x = 101,704,077.94/8,478.65
  6. Step 6: Final answer
    x = 11,995.32

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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.