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Finding the Fourth Proportional to 9,299.04, 12,821.40 and 6,468.72

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Solution

The fourth proportional to 9,299.04, 12,821.40 and 6,468.72 is: 8,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.04 : 12,821.40 = 6,468.72 : x
  2. Step 2: Convert to fraction form
    9,299.04/12,821.40 = 6,468.72/x
  3. Step 3: Cross multiply
    9,299.04x = 12,821.40 × 6,468.72
  4. Step 4: Simplify right side
    9,299.04x = 82,938,046.61
  5. Step 5: Solve for x
    x = 82,938,046.61/9,299.04
  6. Step 6: Final answer
    x = 8,918.99

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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.