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Finding the Fourth Proportional to 9,299.72, 12,839.64 and 6,466.16

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Solution

The fourth proportional to 9,299.72, 12,839.64 and 6,466.16 is: 8,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.72 : 12,839.64 = 6,466.16 : x
  2. Step 2: Convert to fraction form
    9,299.72/12,839.64 = 6,466.16/x
  3. Step 3: Cross multiply
    9,299.72x = 12,839.64 × 6,466.16
  4. Step 4: Simplify right side
    9,299.72x = 83,023,166.58
  5. Step 5: Solve for x
    x = 83,023,166.58/9,299.72
  6. Step 6: Final answer
    x = 8,927.49

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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.