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Finding the Fourth Proportional to 15,915.85, 21,963.08 and 9,200.84

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Solution

The fourth proportional to 15,915.85, 21,963.08 and 9,200.84 is: 12,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.85 : 21,963.08 = 9,200.84 : x
  2. Step 2: Convert to fraction form
    15,915.85/21,963.08 = 9,200.84/x
  3. Step 3: Cross multiply
    15,915.85x = 21,963.08 × 9,200.84
  4. Step 4: Simplify right side
    15,915.85x = 202,078,698.17
  5. Step 5: Solve for x
    x = 202,078,698.17/15,915.85
  6. Step 6: Final answer
    x = 12,696.70

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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.