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Finding the Fourth Proportional to 12,291.78, 16,963.06 and 6,915.16

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Solution

The fourth proportional to 12,291.78, 16,963.06 and 6,915.16 is: 9,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.78 : 16,963.06 = 6,915.16 : x
  2. Step 2: Convert to fraction form
    12,291.78/16,963.06 = 6,915.16/x
  3. Step 3: Cross multiply
    12,291.78x = 16,963.06 × 6,915.16
  4. Step 4: Simplify right side
    12,291.78x = 117,302,273.99
  5. Step 5: Solve for x
    x = 117,302,273.99/12,291.78
  6. Step 6: Final answer
    x = 9,543.15

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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.