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Finding the Fourth Proportional to 15,221.49, 22,834.05 and 6,455.25

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Solution

The fourth proportional to 15,221.49, 22,834.05 and 6,455.25 is: 9,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.49 : 22,834.05 = 6,455.25 : x
  2. Step 2: Convert to fraction form
    15,221.49/22,834.05 = 6,455.25/x
  3. Step 3: Cross multiply
    15,221.49x = 22,834.05 × 6,455.25
  4. Step 4: Simplify right side
    15,221.49x = 147,399,501.26
  5. Step 5: Solve for x
    x = 147,399,501.26/15,221.49
  6. Step 6: Final answer
    x = 9,683.64

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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.