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Finding the Fourth Proportional to 8,436.74, 11,642.79 and 4,660

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Solution

The fourth proportional to 8,436.74, 11,642.79 and 4,660 is: 6,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.74 : 11,642.79 = 4,660 : x
  2. Step 2: Convert to fraction form
    8,436.74/11,642.79 = 4,660/x
  3. Step 3: Cross multiply
    8,436.74x = 11,642.79 × 4,660
  4. Step 4: Simplify right side
    8,436.74x = 54,255,378.10
  5. Step 5: Solve for x
    x = 54,255,378.10/8,436.74
  6. Step 6: Final answer
    x = 6,430.85

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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.