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Finding the Fourth Proportional to 8,643.83, 12,966.56 and 6,698.21

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Solution

The fourth proportional to 8,643.83, 12,966.56 and 6,698.21 is: 10,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.83 : 12,966.56 = 6,698.21 : x
  2. Step 2: Convert to fraction form
    8,643.83/12,966.56 = 6,698.21/x
  3. Step 3: Cross multiply
    8,643.83x = 12,966.56 × 6,698.21
  4. Step 4: Simplify right side
    8,643.83x = 86,852,643.53
  5. Step 5: Solve for x
    x = 86,852,643.53/8,643.83
  6. Step 6: Final answer
    x = 10,047.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.