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Finding the Fourth Proportional to 8,643.85, 11,929.46 and 4,867.91

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Solution

The fourth proportional to 8,643.85, 11,929.46 and 4,867.91 is: 6,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.85 : 11,929.46 = 4,867.91 : x
  2. Step 2: Convert to fraction form
    8,643.85/11,929.46 = 4,867.91/x
  3. Step 3: Cross multiply
    8,643.85x = 11,929.46 × 4,867.91
  4. Step 4: Simplify right side
    8,643.85x = 58,071,513.29
  5. Step 5: Solve for x
    x = 58,071,513.29/8,643.85
  6. Step 6: Final answer
    x = 6,718.25

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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.