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Finding the Fourth Proportional to 13,971, 20,959.74 and 10,068.42

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Solution

The fourth proportional to 13,971, 20,959.74 and 10,068.42 is: 15,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 20,959.74 = 10,068.42 : x
  2. Step 2: Convert to fraction form
    13,971/20,959.74 = 10,068.42/x
  3. Step 3: Cross multiply
    13,971x = 20,959.74 × 10,068.42
  4. Step 4: Simplify right side
    13,971x = 211,031,465.41
  5. Step 5: Solve for x
    x = 211,031,465.41/13,971
  6. Step 6: Final answer
    x = 15,104.96

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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.