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Finding the Fourth Proportional to 9,851, 14,778.66 and 3,281.90

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Solution

The fourth proportional to 9,851, 14,778.66 and 3,281.90 is: 4,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851 : 14,778.66 = 3,281.90 : x
  2. Step 2: Convert to fraction form
    9,851/14,778.66 = 3,281.90/x
  3. Step 3: Cross multiply
    9,851x = 14,778.66 × 3,281.90
  4. Step 4: Simplify right side
    9,851x = 48,502,084.25
  5. Step 5: Solve for x
    x = 48,502,084.25/9,851
  6. Step 6: Final answer
    x = 4,923.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.