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Finding the Fourth Proportional to 15,915.76, 21,963.74 and 8,842.84

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Solution

The fourth proportional to 15,915.76, 21,963.74 and 8,842.84 is: 12,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.76 : 21,963.74 = 8,842.84 : x
  2. Step 2: Convert to fraction form
    15,915.76/21,963.74 = 8,842.84/x
  3. Step 3: Cross multiply
    15,915.76x = 21,963.74 × 8,842.84
  4. Step 4: Simplify right side
    15,915.76x = 194,221,838.62
  5. Step 5: Solve for x
    x = 194,221,838.62/15,915.76
  6. Step 6: Final answer
    x = 12,203.11

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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.