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Finding the Fourth Proportional to 14,115.18, 19,478.50 and 7,741.44

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Solution

The fourth proportional to 14,115.18, 19,478.50 and 7,741.44 is: 10,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.18 : 19,478.50 = 7,741.44 : x
  2. Step 2: Convert to fraction form
    14,115.18/19,478.50 = 7,741.44/x
  3. Step 3: Cross multiply
    14,115.18x = 19,478.50 × 7,741.44
  4. Step 4: Simplify right side
    14,115.18x = 150,791,639.04
  5. Step 5: Solve for x
    x = 150,791,639.04/14,115.18
  6. Step 6: Final answer
    x = 10,682.94

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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.