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Finding the Fourth Proportional to 13,734.77, 18,954.18 and 7,447.14

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Solution

The fourth proportional to 13,734.77, 18,954.18 and 7,447.14 is: 10,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.77 : 18,954.18 = 7,447.14 : x
  2. Step 2: Convert to fraction form
    13,734.77/18,954.18 = 7,447.14/x
  3. Step 3: Cross multiply
    13,734.77x = 18,954.18 × 7,447.14
  4. Step 4: Simplify right side
    13,734.77x = 141,154,432.05
  5. Step 5: Solve for x
    x = 141,154,432.05/13,734.77
  6. Step 6: Final answer
    x = 10,277.16

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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.