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Finding the Fourth Proportional to 6,886.81, 9,503.61 and 3,902.65

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Solution

The fourth proportional to 6,886.81, 9,503.61 and 3,902.65 is: 5,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.81 : 9,503.61 = 3,902.65 : x
  2. Step 2: Convert to fraction form
    6,886.81/9,503.61 = 3,902.65/x
  3. Step 3: Cross multiply
    6,886.81x = 9,503.61 × 3,902.65
  4. Step 4: Simplify right side
    6,886.81x = 37,089,247.12
  5. Step 5: Solve for x
    x = 37,089,247.12/6,886.81
  6. Step 6: Final answer
    x = 5,385.55

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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.