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Finding the Fourth Proportional to 8,415.57, 11,614.17 and 4,639.08

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Solution

The fourth proportional to 8,415.57, 11,614.17 and 4,639.08 is: 6,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.57 : 11,614.17 = 4,639.08 : x
  2. Step 2: Convert to fraction form
    8,415.57/11,614.17 = 4,639.08/x
  3. Step 3: Cross multiply
    8,415.57x = 11,614.17 × 4,639.08
  4. Step 4: Simplify right side
    8,415.57x = 53,879,063.76
  5. Step 5: Solve for x
    x = 53,879,063.76/8,415.57
  6. Step 6: Final answer
    x = 6,402.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.