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Finding the Fourth Proportional to 6,402.25, 8,835.20 and 3,918.25

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Solution

The fourth proportional to 6,402.25, 8,835.20 and 3,918.25 is: 5,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.25 : 8,835.20 = 3,918.25 : x
  2. Step 2: Convert to fraction form
    6,402.25/8,835.20 = 3,918.25/x
  3. Step 3: Cross multiply
    6,402.25x = 8,835.20 × 3,918.25
  4. Step 4: Simplify right side
    6,402.25x = 34,618,522.40
  5. Step 5: Solve for x
    x = 34,618,522.40/6,402.25
  6. Step 6: Final answer
    x = 5,407.24

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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.