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Finding the Fourth Proportional to 8,643.52, 11,929.10 and 4,868.08

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Solution

The fourth proportional to 8,643.52, 11,929.10 and 4,868.08 is: 6,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.52 : 11,929.10 = 4,868.08 : x
  2. Step 2: Convert to fraction form
    8,643.52/11,929.10 = 4,868.08/x
  3. Step 3: Cross multiply
    8,643.52x = 11,929.10 × 4,868.08
  4. Step 4: Simplify right side
    8,643.52x = 58,071,813.13
  5. Step 5: Solve for x
    x = 58,071,813.13/8,643.52
  6. Step 6: Final answer
    x = 6,718.54

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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.