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Finding the Fourth Proportional to 13,307, 19,959.96 and 3,946.64

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Solution

The fourth proportional to 13,307, 19,959.96 and 3,946.64 is: 5,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307 : 19,959.96 = 3,946.64 : x
  2. Step 2: Convert to fraction form
    13,307/19,959.96 = 3,946.64/x
  3. Step 3: Cross multiply
    13,307x = 19,959.96 × 3,946.64
  4. Step 4: Simplify right side
    13,307x = 78,774,776.53
  5. Step 5: Solve for x
    x = 78,774,776.53/13,307
  6. Step 6: Final answer
    x = 5,919.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.