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Finding the Fourth Proportional to 13,707, 18,915.66 and 7,419.42

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Solution

The fourth proportional to 13,707, 18,915.66 and 7,419.42 is: 10,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707 : 18,915.66 = 7,419.42 : x
  2. Step 2: Convert to fraction form
    13,707/18,915.66 = 7,419.42/x
  3. Step 3: Cross multiply
    13,707x = 18,915.66 × 7,419.42
  4. Step 4: Simplify right side
    13,707x = 140,343,226.12
  5. Step 5: Solve for x
    x = 140,343,226.12/13,707
  6. Step 6: Final answer
    x = 10,238.80

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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.