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Finding the Fourth Proportional to 12,963, 19,336.74 and 12,748.97

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Solution

The fourth proportional to 12,963, 19,336.74 and 12,748.97 is: 19,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963 : 19,336.74 = 12,748.97 : x
  2. Step 2: Convert to fraction form
    12,963/19,336.74 = 12,748.97/x
  3. Step 3: Cross multiply
    12,963x = 19,336.74 × 12,748.97
  4. Step 4: Simplify right side
    12,963x = 246,523,421.47
  5. Step 5: Solve for x
    x = 246,523,421.47/12,963
  6. Step 6: Final answer
    x = 19,017.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.