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Finding the Fourth Proportional to 7,672.72, 11,509.57 and 2,407.94

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Solution

The fourth proportional to 7,672.72, 11,509.57 and 2,407.94 is: 3,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.72 : 11,509.57 = 2,407.94 : x
  2. Step 2: Convert to fraction form
    7,672.72/11,509.57 = 2,407.94/x
  3. Step 3: Cross multiply
    7,672.72x = 11,509.57 × 2,407.94
  4. Step 4: Simplify right side
    7,672.72x = 27,714,334.71
  5. Step 5: Solve for x
    x = 27,714,334.71/7,672.72
  6. Step 6: Final answer
    x = 3,612.06

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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.