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Finding the Fourth Proportional to 8,417, 11,615.22 and 4,640.18

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Solution

The fourth proportional to 8,417, 11,615.22 and 4,640.18 is: 6,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 11,615.22 = 4,640.18 : x
  2. Step 2: Convert to fraction form
    8,417/11,615.22 = 4,640.18/x
  3. Step 3: Cross multiply
    8,417x = 11,615.22 × 4,640.18
  4. Step 4: Simplify right side
    8,417x = 53,896,711.54
  5. Step 5: Solve for x
    x = 53,896,711.54/8,417
  6. Step 6: Final answer
    x = 6,403.32

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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.