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Finding the Fourth Proportional to 12,293.81, 16,965.28 and 6,915.84

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Solution

The fourth proportional to 12,293.81, 16,965.28 and 6,915.84 is: 9,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.81 : 16,965.28 = 6,915.84 : x
  2. Step 2: Convert to fraction form
    12,293.81/16,965.28 = 6,915.84/x
  3. Step 3: Cross multiply
    12,293.81x = 16,965.28 × 6,915.84
  4. Step 4: Simplify right side
    12,293.81x = 117,329,107.06
  5. Step 5: Solve for x
    x = 117,329,107.06/12,293.81
  6. Step 6: Final answer
    x = 9,543.76

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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.