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Finding the Fourth Proportional to 9,916.16, 13,679.14 and 6,729.64

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Solution

The fourth proportional to 9,916.16, 13,679.14 and 6,729.64 is: 9,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.16 : 13,679.14 = 6,729.64 : x
  2. Step 2: Convert to fraction form
    9,916.16/13,679.14 = 6,729.64/x
  3. Step 3: Cross multiply
    9,916.16x = 13,679.14 × 6,729.64
  4. Step 4: Simplify right side
    9,916.16x = 92,055,687.71
  5. Step 5: Solve for x
    x = 92,055,687.71/9,916.16
  6. Step 6: Final answer
    x = 9,283.40

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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.