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Finding the Fourth Proportional to 11,312.75, 15,613.02 and 7,435.43

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Solution

The fourth proportional to 11,312.75, 15,613.02 and 7,435.43 is: 10,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.75 : 15,613.02 = 7,435.43 : x
  2. Step 2: Convert to fraction form
    11,312.75/15,613.02 = 7,435.43/x
  3. Step 3: Cross multiply
    11,312.75x = 15,613.02 × 7,435.43
  4. Step 4: Simplify right side
    11,312.75x = 116,089,517.30
  5. Step 5: Solve for x
    x = 116,089,517.30/11,312.75
  6. Step 6: Final answer
    x = 10,261.83

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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.