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Finding the Fourth Proportional to 9,792.68, 14,683.50 and 3,217.10

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Solution

The fourth proportional to 9,792.68, 14,683.50 and 3,217.10 is: 4,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.68 : 14,683.50 = 3,217.10 : x
  2. Step 2: Convert to fraction form
    9,792.68/14,683.50 = 3,217.10/x
  3. Step 3: Cross multiply
    9,792.68x = 14,683.50 × 3,217.10
  4. Step 4: Simplify right side
    9,792.68x = 47,238,287.85
  5. Step 5: Solve for x
    x = 47,238,287.85/9,792.68
  6. Step 6: Final answer
    x = 4,823.84

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1.5x scale

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.