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Finding the Fourth Proportional to 13,851, 19,114.92 and 8,265.24

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Solution

The fourth proportional to 13,851, 19,114.92 and 8,265.24 is: 11,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 19,114.92 = 8,265.24 : x
  2. Step 2: Convert to fraction form
    13,851/19,114.92 = 8,265.24/x
  3. Step 3: Cross multiply
    13,851x = 19,114.92 × 8,265.24
  4. Step 4: Simplify right side
    13,851x = 157,989,401.38
  5. Step 5: Solve for x
    x = 157,989,401.38/13,851
  6. Step 6: Final answer
    x = 11,406.35

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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.